@@asmotivationxx01 (I know I wrote a lot I am sorry about that) you are confusing energy with workdone negative energy only exists in quantum physics that too theoretically we dont know if it exists or not. This formula is from theory of relativity and back then quantum physics was not a thing, so relativity does not even apply in many situations in the quantum world so ye you can't say the ratio is negative 🥲. One point yes theoretically negitave mass is possible so you maybe right we just don't know yet 🤣
@@asmotivationxx01 ugghhh it's reference frame bro it's not negative energy how old are you man. We are talking about theory of relativity which does not take in h=0 as a reference frame. Read about different types of frames of references and the frames of references in theory of relativity
@@asmotivationxx01 bro first tell me which physics you wanna talk about. Every physics is different quantum physics has diff. Rules general relativity has diff. Rules and electro magnetism has diff. Rules and I could go on. General relativity does not have negative energy that's all I am trying to say. Literally you can ggl it if you want. When you get to college you will learn how conflicting every type of physics is we don't even know wtf momentum is 🥲👍
@@asmotivationxx01 I assumed you were talking about general relativity cuz e=mc^2 only works in that physics but if your talking about physics in general then ye for sure negative energy exists
I think dark matter would be a more accurate term. Correct me if I’m wrong, but antimatter is simply regular matter with flipped charges (positron = positively charged electron for example). Dark matter (if it exists) would repel regular matter and simulate a negative mass.
@@SODIUM10 I mean, it’s credited with the expansion of the universe and things staying apart as well, so I’m not sure. It’s why I said correct me if I’m wrong lol.
@@ek_minute_ I thought so. As a eco hons. We have many complex expressions of slopes, both linear and curvatures. So although I know shit about E=mc², I thought it's a st line slope
@@djjdjd470 obviously it is , it is nothing too difficult to understand here. c is a constant here, so the graph would be plotted between E and m, where E is directly proportional to m. So if mass increases, energy within the mass must increase, whether it is kinetic energy, or radioactive energy.
bruh he didn't really answered the question he just accepted that it is how it is even teacher didn't explain Simply negative sign is a instruction in maths to change the direction of number in number line by multiplying two negative we are just changing direction two times so if we moving behind is like multiplying by a negative number by moving two times we just come to the same direction
My teacher explained it as exponents = number of times thr number is multiplied by itself, so negative number squared becomes positive because two negative numbers multipled = positive.
The fact that many in fact does not really understand the concept of why negative times negative becomes positive makes this video much better. Getting more money makes you richer (Positive × Positive = Positive) Getting rid of money makes you more poor. (Negative × Positive = Negative) Getting more loans makes you more poor (Positive × Negative = Negative) Getting rid of loans makes your richer (Negative × Negative = Positive) It's like playing video of a man walking backwards in reverse. You'll see the man going forward.
I remember this bothering me in class too until my friend explained it he said " look - x - = + so You dont know if both the number in the square were negative or if they were postive therefore we write both negative and positive"
this is probably the most motivating and inspiring video ive ever seen. and indeed, it feels amazing to understand something fully. i always have to fully know why something is the way it is, i cant just know the answer. i have to know why!
squaring is multipling a number by itself so 2 * 2 = 4 and if you multiply two negative numbers it leaves a positive number so -2 * -2 = 4 but if its just one negative it will be a negative -4 -2 * 2 = -4 so two positive or negative 2's would work but not one positive and one negative two.
Here's the geometric proof: A square in it's most basic sense is a measure of the area enclosed with 2 equally sized sides right. So if I take a length of 2, move 2 up (positive) and then to the right (positive), I will enclose a square an area of 4 square units. Now if I do this, but the opposite way, 2 down (negative) and 2 left (negative) I will still end up with an area of 4 square units, equal to previous square. Thus x^ = 4 x = +/- 2
@@FuriousRazorfourth root of x is a function that gives only one positive root therefore it's also called principal fourth root but if you step in the complex world , there are four fourth root of any complex no because x⁴=a , a be any complex number would have always four solutions, whether complex or real,hence fourth roots of 4 are 2 ,-2,2i,-2i
@@fabihaafia4665 blud its not that deep. Its just that negative times negative is positive because on a number line, negative means going behind 0 toward the negative side. So if u multiply negative with itself, it just means u went to the negative part and came back again to where u started, and multiplying 2 negative numbers just becomes positive because of this reason.
Let’s do it algebraically, x^2=4 x^2-4=0 x^2-2^2=0 Using a^2-b^2=(a+b)(a-b), we get (x+2)(x-2)=0 For the LHS to be zero, either x+2 can be zero or x-2 can be zero. This is because if one of the two is zero, the whole product would be zero as well. (Since 0*Anything=0) Therefore, there are two cases 1) x+2=0 or x=-2 2) x-2=0 or x=+2 Thus, x can be both +2 or -2, ie. x is plus or minus 2. Q.E.D.
I Can tell You how we got the -2 So X^2 = 4 Placing 4 on LHS we get X^2 - 4 = 0 This becomes (X+2).(X-2) = 0 (by a^2 - b^2 =( a+b).(a-b)) Therefore X+2=0 X-2 =0 So X = 2 or -2 QED.
@@About_Faith Yes brother I know a question might seem easy but has a long route of mystery behind it and equation such simple has this might bend some people's nerve. I have seen many complex equation as the X^+1=0 as its roots are +-i so it basically takes you to the complex plane
When he gave 2 as an answer, I was getting stressed out and thinking it should be plus or minus 2. Now I can relax knowing the teacher corrected him :)
These are the sign conventions when multiplication/division (-ve)÷ or ×(-ve) = +ve (+ve)× or ÷(+ve) = +ve (+ve)× or ÷(-ve) = - ve (-ve)× or ÷(+ve) = - ve If we evaluate the square of (+2), we get, (+2)×(+2) = +4 And if we evaluate square of (-2), we get, (-2)×(-2) = +4 Multiplication of two negative numbers will give a positive value, as mentioned above. So when we square root ; √4) , we have two possible values as it can be the square of either +2 or -2, hence while writing value of square root 4, we mention both the possibilities. That is, √4 = plus or minus 2.
Nah, at first I also started to wonder where -2 came from, until the teacher’s explanation at the end. An explanation which I knew before I watched the video, but forgotten as I watched the protagonist’s progression towards the resolution.
It reminds me of when I calculated a negative area once in school and the teacher said, it does not make sense, there are no negative areas. Until in university I learned about geometric algebra.
explanation: when we say √4 We mean the Definite value of the root assuming that the root is always positive. hence √9 = 3 , √16 = 4 and so on when we say x² = 4 we mistake it as x = √4 = 2. Actually this becomes a _Quadratic Equation P(x) = ax² -bx +c = 4_ where b = c = 0. therefore for x² = 4 there are *2* Real roots, One being 2 (2 X 2 = 4) And other: -2 [ -2 X -2 = -1 X -1 X 2 X 2 (taking the negative multipliers (-1) out ) = 1 X 2 X 2 ( since -1 X -1 = 1) = 4 ] hence we denote a (+/-) sign for x² = 4 then x = (+/-) 2. ~Basically~ to indicate that _Numerical Value_ of the root *might be same* but its _Integral Values_ *are different and they are the two zero's of the quadratic equation.*
The kid is right in asking this deep question: the minus is the the "other" 2 in the mirror opposite where the negative mass Kyle lives and wondering where the positive 2 comes from and have the exact same conversation with his negative mass teacher.
![Why you didn't learn tetration in school[Tetration]](http://i.ytimg.com/vi/Ea1_1aVfwl4/mqdefault.jpg)
![Why you didn't learn tetration in school[Tetration]](/img/tr.png)
Wait until he hears about i
Don’t worry I already heard about it
Wait till he hears about j and k (and -j and -k and ij, ik, ji, jk... jki...... kjijkjij...... you get the 'i'dea)
@@HJ28_398 what?
quaternions op in the chat
wait until he hears about sedenions
Bro managed to get a negative speed of light 💀
xd
he went in the wrong direction there
@@bitten1406 yeah in the opposite direction lol
🤣🤣🤣🤣
Bro. that is how reverse flash appears.
Physics university student here. This (plus a couple extra steps) is how Paul Dirac discovered antimatter in 1928. So bro is actually cooking here
Dirac was my favorite schizo fr
@@yousefabdelmonem3788 I love Dirac notation
will u teach me
💀☠☠
bro really made mass negative 💀.
@@asmotivationxx01 For their ratio to be negative one of them has to be negative.
@@asmotivationxx01 (I know I wrote a lot I am sorry about that) you are confusing energy with workdone negative energy only exists in quantum physics that too theoretically we dont know if it exists or not. This formula is from theory of relativity and back then quantum physics was not a thing, so relativity does not even apply in many situations in the quantum world so ye you can't say the ratio is negative 🥲. One point yes theoretically negitave mass is possible so you maybe right we just don't know yet 🤣
@@asmotivationxx01 ugghhh it's reference frame bro it's not negative energy how old are you man. We are talking about theory of relativity which does not take in h=0 as a reference frame. Read about different types of frames of references and the frames of references in theory of relativity
@@asmotivationxx01 bro first tell me which physics you wanna talk about. Every physics is different quantum physics has diff. Rules general relativity has diff. Rules and electro magnetism has diff. Rules and I could go on. General relativity does not have negative energy that's all I am trying to say. Literally you can ggl it if you want. When you get to college you will learn how conflicting every type of physics is we don't even know wtf momentum is 🥲👍
@@asmotivationxx01 I assumed you were talking about general relativity cuz e=mc^2 only works in that physics but if your talking about physics in general then ye for sure negative energy exists
Bro is finding antimatter. Fr 💀
He found something 🤷♂️
Anti matter just has opposite charge. Not negative mass.
I think dark matter would be a more accurate term. Correct me if I’m wrong, but antimatter is simply regular matter with flipped charges (positron = positively charged electron for example). Dark matter (if it exists) would repel regular matter and simulate a negative mass.
@@CalculusIsFun1 isn't dark matter supposed to hold masses together??
@@SODIUM10 I mean, it’s credited with the expansion of the universe and things staying apart as well, so I’m not sure. It’s why I said correct me if I’m wrong lol.
bro went from maths to physics
Yup
Ilr I was like hold man too far where we goin
And before that to meth
@@danielhomolya897 nah we call that chemistry 'round here 🔥
both are interconnected
When bro discovered i^2 = -1 he went history teacher
😂😂😂
Complex numbers
Bro started from quadratic direct to E=MC²😂😂😂
I'm saying!!!🤣🤣🤣
E=MC^2 is actually not a quadratic equation it's a linear equation with a slope of c^2. Since speed of light is constant.
@@ek_minute_ I thought so. As a eco hons. We have many complex expressions of slopes, both linear and curvatures. So although I know shit about E=mc², I thought it's a st line slope
No. He derived quadratic from e=mc²
@@djjdjd470 obviously it is , it is nothing too difficult to understand here. c is a constant here, so the graph would be plotted between E and m, where E is directly proportional to m. So if mass increases, energy within the mass must increase, whether it is kinetic energy, or radioactive energy.
his "alright, i guess it does" was the cherry on top !!!!!
Thank you!!!
@@kylechase_films Can't wait for more !!! keep it up bud :))))
the editing, cinematography and video were all amazing. big ups.
Thank you!
I love how the e=mc² came out of nowhere lolss
then there is integration 😭
Oh no
honestly found derivative more challenging , but solving integrals is another thing tho lol
@@australiadegeneratecrocodi1906 Then you haven't gotten anywhere close to difficult integration lol
What do you guys mean by, integration
@@happywifehappylife-u2xintegration, like calculus
Chanting "√(x²) = |x|" should be part of everyone's daily routine
Goddammit someone said it
Looks wrong to me
I read modulus
But it is correct
Come, on say with me, "ROOT X SQUARED IS EQUAL TO X MOD"
bro just separated algebra from geometry.
Wait until he hears about quantum physics
blud went from radicles to relativity the same day 💀
Mans really went from solving for x to shattering the laws of physics 💀💀💀💀
bruh he didn't really answered the question he just accepted that it is how it is even teacher didn't explain
Simply negative sign is a instruction in maths to change the direction of number in number line by multiplying two negative we are just changing direction two times so if we moving behind is like multiplying by a negative number by moving two times we just come to the same direction
That’s the one point. You don’t gotta explain
@@kylechase_filmscoz you're just so smart eh🤧
That's how maths pedagogy works
I remember someone explaining it like turning round and then turning round again and you end up in the same direction
My teacher explained it as exponents = number of times thr number is multiplied by itself, so negative number squared becomes positive because two negative numbers multipled = positive.
0:45 He completely forgot that he was not wearing glasses
The acting, the editing, the video quality is so good. Deserves more views for sure!!
2:16 "Where's -2" ..."E=MC²"
1:18 A true imagination comes at this moment, when you realize there are 4 roots in equation (a) 2, -2, 2i, -2i.
Me doing a basic ass integral:
And they say Indian serials are overdramatic ;)
Great Vid man the song is really created for such situations and ... WAIT no nevermind i thought i got a briliant dollar idea anyways congrats
Wow those visual effects were stunning! Especially the fire one.
Thank you!
For a function to be well-defined, it must map each element from the domain to exactly one element in the range.
i thought he was gonna flip the coin and realize where the negative 2 came from
The fact that many in fact does not really understand the concept of why negative times negative becomes positive makes this video much better.
Getting more money makes you richer (Positive × Positive = Positive)
Getting rid of money makes you more poor. (Negative × Positive = Negative)
Getting more loans makes you more poor (Positive × Negative = Negative)
Getting rid of loans makes your richer (Negative × Negative = Positive)
It's like playing video of a man walking backwards in reverse. You'll see the man going forward.
That’s actually really neat
I remember this bothering me in class too until my friend explained it he said " look - x - = + so You dont know if both the number in the square were negative or if they were postive therefore we write both negative and positive"
this is probably the most motivating and inspiring video ive ever seen. and indeed, it feels amazing to understand something fully. i always have to fully know why something is the way it is, i cant just know the answer. i have to know why!
Thank you
SAMEEE (btw that's a mathematician spirit)
That was a whole movie, very impressive!
Thank you!
squaring is multipling a number by itself so
2 * 2 = 4
and if you multiply two negative numbers it leaves a positive number so
-2 * -2 = 4
but if its just one negative it will be a negative -4
-2 * 2 = -4
so two positive or negative 2's would work but not one positive and one negative two.
Wait until he hears about the gamma function.
In his defense Einstein’s equations also work with negatives. I’ll leave you to think about the world-shattering implications of that…
Most formulas in general do actually.
Even time.
But we're told to think too positively.
It's the best feeling in the world to get the answer before the teacher solves it
Here's the geometric proof:
A square in it's most basic sense is a measure of the area enclosed with 2 equally sized sides right. So if I take a length of 2, move 2 up (positive) and then to the right (positive), I will enclose a square an area of 4 square units.
Now if I do this, but the opposite way, 2 down (negative) and 2 left (negative) I will still end up with an area of 4 square units, equal to previous square.
Thus x^ = 4 x = +/- 2
When I read geometric proofs I expect to see shapes
But distance is a scalar quantity, it can't be negative because it doesn't make sense and can be the same as positive from a different perspective
So that means +/-2 just like it can be -2 or +2 Depends on the situation?
by this logic -2*2 = positive 4
@@elywickander4666 draw that on graph and see if any relation to 4 or not
When I started to understand math, I can't express how it felt
Bro using all his brain cells for the equation while the other guy be chillin👁👄👁
at the end he showed his only choice to look intellectual and confused at the same time by the default yes even though he don't get it
Broooooo this production is so cooooooool
Somebody show this to Nolan, he's going to love it.
@@rishujeetrai5780 dude that would be insane if he sees this
@@kylechase_films it would be insane for everyone 🤣
Wait till bro find out that x^4 = 16 isn't just x=2 and x=-2
Edited bc I was tweaking when I wrote the comment
It's just 2 and -2
It’s just 2 because 4th root is a function
I’m sorry
Guys, the other two are 2i and -2i, where i=sqrt(-1). Solve it for yourself.
That's a good point but the 4th root's range is only greater than or equal to 0. I don't like it that way but that's how the function is defined.
@@FuriousRazorfourth root of x is a function that gives only one positive root therefore it's also called principal fourth root but if you step in the complex world , there are four fourth root of any complex no because x⁴=a , a be any complex number would have always four solutions, whether complex or real,hence fourth roots of 4 are 2 ,-2,2i,-2i
i found this vid when i was struggling in a math lesson about operations on real numbers and irrationals, and it's hella relatable rn 😭
This is really good. Great production!
Bro finding dark matter
I had this doubt in my mind for years but the last minutes made me fell in love with mathematics,Iam Cleared!
It's awesome bro
Emm...mind if I ask what and how did it clear your doubt? Cause all I got from the last part is that "it is what it is"😭
@@fabihaafia4665 blud its not that deep. Its just that negative times negative is positive because on a number line, negative means going behind 0 toward the negative side. So if u multiply negative with itself, it just means u went to the negative part and came back again to where u started, and multiplying 2 negative numbers just becomes positive because of this reason.
*It hits hard when you say the answer but it was wrong but we won't give up.*
Meeee in parallel universe 😂
Honestly tho, amazing stuff here. The shots are so well done!
Thank you!
Fr ( I'm Engineering Students Calculus and Physics Cook me 💀💀)
That’s going to be the end of me
He wanted to see for himself even if he didn't quite understood it in the end. I love that.
Let’s do it algebraically,
x^2=4
x^2-4=0
x^2-2^2=0
Using a^2-b^2=(a+b)(a-b), we get
(x+2)(x-2)=0
For the LHS to be zero, either x+2 can be zero or x-2 can be zero. This is because if one of the two is zero, the whole product would be zero as well. (Since 0*Anything=0)
Therefore, there are two cases
1) x+2=0 or x=-2
2) x-2=0 or x=+2
Thus, x can be both +2 or -2, ie. x is plus or minus 2.
Q.E.D.
Looks about right
But there's "principal square number"
@@GottfriedLeibniz5I don’t see no square in the proof my guy
@@crix_h3eadshotgg992 it's the name.
@@GottfriedLeibniz5 oh you meant “principal square root”?
The power... of music.
This video was made by a genius.
Brasil aqui🇧🇷
Thank you!
I really liked the video honestly!! ;) Subscribed!
Preciate it! 🙌
nahh man you've got some acting skills right here! keep it up!
I’ll tell that to my actor!
bro went straight from radical 2 to e=mc^2
3:05 worst explanation ever lmao.
never letting u cook again
It was my question to😅 when i was grade 9 but i don't know still now why it's +or- 2
Lol. I don’t really know how to explain it anyway. It’s just how it is 🤷♂️
@@kylechase_films bro if you multiply (-2) * (-2) = 4; The same as 2 * 2 = 4; That is the reason. (minus * minus = plus)
@@Nevadooo now tel me why is - * - = + i dont even know why we didnt think bout this when we were small
@@Nevadooo but the question is what exactly is -2 and why is minus * minus = pluse
√x² = |x| = ±x(depending upon x is positive or negative )
√4 = √2² = |2| = +2(since 2 is positive)
So, ±x = 2
» x =±2
The hand gestures and the face expression was perfecttt
Thank you
He took math aint mathing to another level 😂
I Can tell You how we got the -2
So
X^2 = 4
Placing 4 on LHS
we get
X^2 - 4 = 0
This becomes
(X+2).(X-2) = 0 (by a^2 - b^2 =( a+b).(a-b))
Therefore
X+2=0
X-2 =0
So X = 2 or -2
QED.
Or
x-^2=4
SqrtX^2=+-sqrt4
Therefore x=+-2
@@wickxd9929 Yes You can do that too
But i did it the long way so that I can explain every step that's all
@@mrmemer7548 yeay all g man! Thats the beauty of maths, there are multiple ways of getting the same objective answer.
@@About_Faith Yes brother I know a question might seem easy but has a long route of mystery behind it and equation such simple has this might bend some people's nerve. I have seen many complex equation as the X^+1=0 as its roots are +-i so it basically takes you to the complex plane
You think you understand it, but you never do
Always
hahaha thats awesome i loved the vid
Thank you!
Some people look at “x” as a letter, some see it as a number, some see it as a limit, and a few see it as a probability.
This needs more views,
The quality and cinematography is top quality
Thank you!
This is just epic! I love the overall cinematography and way the cast performed. It was funny how he tried finding the square root using coins 😂
When he gave 2 as an answer, I was getting stressed out and thinking it should be plus or minus 2. Now I can relax knowing the teacher corrected him :)
Ngl this parody actually allowed me to make sense why a square root has two answers.
Me when I find out how to use unitary method
These are the sign conventions when multiplication/division
(-ve)÷ or ×(-ve) = +ve
(+ve)× or ÷(+ve) = +ve
(+ve)× or ÷(-ve) = - ve
(-ve)× or ÷(+ve) = - ve
If we evaluate the square of (+2), we get,
(+2)×(+2) = +4
And if we evaluate square of (-2), we get,
(-2)×(-2) = +4
Multiplication of two negative numbers will give a positive value, as mentioned above.
So when we square root ; √4) , we have two possible values as it can be the square of either +2 or -2, hence while writing value of square root 4, we mention both the possibilities.
That is,
√4 = plus or minus 2.
he should have just used cartesian plane to plot -2 and 2 and he would be enlightened, great video btw
Jonathan's voice is pure mathematics.
moral of the story is always ask doubts from your teacher first instead of turning maths into physics lol...
To simple the function one one we define the range of root(x) be 0 TO INF
ITS AN ASSUMPTION
LIKE SIMILAR IN SIN INVERSE X
bro finally found my large source of negative energy
By doing class 8 sums he is a scientist 😂😂
Nah, at first I also started to wonder where -2 came from, until the teacher’s explanation at the end. An explanation which I knew before I watched the video, but forgotten as I watched the protagonist’s progression towards the resolution.
I’m glad you felt/experienced that
What it feels like to solve a quadratic equation while using the quadratic formula:
Me with that level of difficulty : Now I am become death, the destroyer of the multiverse
radical function only gives positive values, so root(4)= +2, the eqn form has two solns becoz x can be anything
It casually went to understand everything at scool and at home to getting confused at questions :/
I love Physics and maths and this is how i feel like when i think about it. Based video too:)
Blud forgot that physics is supposed to be the PRACTICAL application of math 💀
somehow i know the answer because +4 can also happen with addition of -2 and -2 maybe ig
It reminds me of when I calculated a negative area once in school and the teacher said, it does not make sense, there are no negative areas. Until in university I learned about geometric algebra.
Sometime few things don't make sense but it does when we grow up and learn more about it.
Square it is always defined for the positive numbers and always give the positive result
"Now I have become death, destroyer of worlds."
Can't imagine what this guy would be like when he learns about asymptotes
Nah already learned about that
One can deduce multiplication with negative numbers using the "exclusion inclusion principle" on rectangles.
This video made me grind for a week straight. Keep up the amazing work.
Love it!
First time hearing square root being called "radical"
Bro cracked the complex numbers
bro still is not sure "i guess it does "
explanation:
when we say √4 We mean the Definite value of the root assuming that the root is always positive. hence √9 = 3 , √16 = 4 and so on
when we say x² = 4 we mistake it as x = √4 = 2. Actually this becomes a _Quadratic Equation P(x) = ax² -bx +c = 4_ where b = c = 0. therefore for x² = 4 there are *2* Real roots, One being 2
(2 X 2 = 4)
And other:
-2 [ -2 X -2 = -1 X -1 X 2 X 2 (taking the negative multipliers (-1) out ) = 1 X 2 X 2 ( since -1 X -1 = 1) = 4 ]
hence we denote a (+/-) sign for x² = 4 then x = (+/-) 2. ~Basically~ to indicate that _Numerical Value_ of the root *might be same* but its _Integral Values_ *are different and they are the two zero's of the quadratic equation.*
The kid is right in asking this deep question: the minus is the the "other" 2 in the mirror opposite where the negative mass Kyle lives and wondering where the positive 2 comes from and have the exact same conversation with his negative mass teacher.
Absolute value is what you were looking for.