I never realized/knew that absolute value can have this behaviour!! THANKS for sharing!! It would be really cool to see a crash course on all "absolute fails" (my stab at a catchy name), where you show stuff like this video and how solutions can be curves vs just points.
I knew about the absolute value being distance in the complex plane, but subbing that in while solving equations takes a lot more knowledge than I would have thought to use lol 😅 wow! Also love how beautiful the answer is. Thanks so much for the video!
While doing chores and driving late at night, I have sometimes wondered if this "every solution is complex" idea would apply to everything. This video is my first hint at that likelihood.
A circle is the set of all points in the plane that are equidistant from a fixed point, the centre. Thus, using (x - h)^2 + (y + k)^2 = r^2 we can describe the circle. You'll notice this is the also the Pythagoran theorem and the distance equation. The set of points traced out by this equation draw out a circle. r is the distance from the centre to the circumference, i.e. the radius.
Yes sir. I qrote exam of my integrals after watching your videos. Wonderful guy. Sir please can you explain SRINIVASA RAMANUJAN 'S SUM OF INFINITE NATURAL NUMBERS PLEASE.
This "quadratic" equation has 6 solutions!
th-cam.com/video/BYI-MKzqO74/w-d-xo.html
damn you wolframalpha!! let the man have his simple life :(
What happened to the board?!?!
I never realized/knew that absolute value can have this behaviour!! THANKS for sharing!!
It would be really cool to see a crash course on all "absolute fails" (my stab at a catchy name),
where you show stuff like this video and how solutions can be curves vs just points.
just changed the entire way i saw absolute values… thanks for sharing!
I knew about the absolute value being distance in the complex plane, but subbing that in while solving equations takes a lot more knowledge than I would have thought to use lol 😅 wow! Also love how beautiful the answer is. Thanks so much for the video!
n being a real number is cursed
While doing chores and driving late at night, I have sometimes wondered if this "every solution is complex" idea would apply to everything. This video is my first hint at that likelihood.
Guess What! I just successfully integrated:
1. (erf(x))^2 dx
2. (erfi(x))^2 dx
3. (Ei(x))^2 dx
Therefore I think that Calculus is interesting!!!
where is the white board 🤔
Great video. I wasn't know the usage of Euler's formula until this video.
When I saw complex numbers I knew it was a circle.
can someone please explain why at 9:04 the radius of the circle is 2?
A circle is the set of all points in the plane that are equidistant from a fixed point, the centre. Thus, using (x - h)^2 + (y + k)^2 = r^2 we can describe the circle. You'll notice this is the also the Pythagoran theorem and the distance equation. The set of points traced out by this equation draw out a circle. r is the distance from the centre to the circumference, i.e. the radius.
Yes sir. I qrote exam of my integrals after watching your videos. Wonderful guy.
Sir please can you explain SRINIVASA RAMANUJAN 'S SUM OF INFINITE NATURAL NUMBERS PLEASE.
He already has
You wanted a REAL life but wolframalpha made it COMPLEX ;-)
Cool!
Pls do "find all real solution of the equation abs(√x - 2) = 3" next
Isn't that just 25 because sqrt(x) can't be less than 0, so only the positive answer works?
25 and -5
@@Ескендір-б5р yeah that's the correct answer
The original question did not state the domain, so the solution could just as well be a sphere.
now you make me look stupid .
Complex is real stuff... 😂😂😂😂
Wow signal reference?
“Those that know, know Wolfram.” ^.^
Damn you Wolframalpha 😂
İt is probably equal to |i|=i.
Nice
W!
Where is your beautiful face and charming smirk
Womp womp
i↑↑i=???
Do you mean i^i or i tetrated to i?
@sebas31415 i tetrated to i
@sebas31415I think he means tetrated
thats why you never forget to write x∈R