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MathMinds
United States
เข้าร่วมเมื่อ 10 มิ.ย. 2023
Welcome to MathMinds, your ultimate destination for mastering challenging math concepts, solving intricate equations, and preparing for math Olympiads! 🚀
Our videos break down advanced math topics like the Lambert W function, exponential equations, algebra, geometry, and number theory into simple, step-by-step solutions. Perfect for students preparing for Math Olympiads, competitive exams (IMO, SAT, IIT-JEE), or anyone who loves math!
Subscribe for regular updates, math tricks, and problem-solving strategies to strengthen your skills and ace competitions.
🌐 Connect With Us:
Subscribe: www.youtube.com/@Math_Minds
Email: mathmindsofficial@gmail.com
Don’t forget to like, share, and subscribe for weekly content!
#MathOlympiad #ExponentialEquations #LambertWFunction #MathPreparation #AdvancedMath
Our videos break down advanced math topics like the Lambert W function, exponential equations, algebra, geometry, and number theory into simple, step-by-step solutions. Perfect for students preparing for Math Olympiads, competitive exams (IMO, SAT, IIT-JEE), or anyone who loves math!
Subscribe for regular updates, math tricks, and problem-solving strategies to strengthen your skills and ace competitions.
🌐 Connect With Us:
Subscribe: www.youtube.com/@Math_Minds
Email: mathmindsofficial@gmail.com
Don’t forget to like, share, and subscribe for weekly content!
#MathOlympiad #ExponentialEquations #LambertWFunction #MathPreparation #AdvancedMath
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A tricky Harvard elementary school maths question. Beauty of mathematics. Find the value of X? Can You solve Harvard University entrance exam math problems? #maths #mathematics #algebra
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Loved this video. Great work.
Thank you.
100% = 1 sqrt(100%) = sqrt(1) = 1 = 100%, so its c
Its so easy 1+2=3 2+3=5 3+5=8 8+5=13 Why are you making it so complicated
W(2ln11) or - like in the video - W(4.7958) is approx. equal to 1.303 instead of 1.409. The correct solution differs by ~0.32 since e^W(4.7958)=3.6804...
Yes. Thank you.
Sorry, but that answer is completely incorrect, obviously so, as 4^4=256, already too large to be the answer, the answer is actually about 3.68.
Somewhere between 3 and 4 for the rational answer.
Sometimes "guess-and-check" and a bit of insight can be quicker than an analytic method. Guessing that an integer solution is available, we know that integers squared are mostly bigger than the integer, so we are probably going to find a solution when a^2 is a bit bigger than 43. Try a = ±7, which makes b = 49 - 43 = 6. Then b^2 = 36, making a = 36 - 43 = -7. Yup, that is a solution. So a^2 + b^2 = 49 + 36 = 85.
Isn't that the square of 11
No.
Explain me plz
It is, but not really relevant for the answer.
the x must have been between the interval (3;4) i dont think the answer is correct
It's nice
Thank you.
Hello, this is a good video! And you sound like a good person
This seems way more complicated than necessary? It's simply a substitution problem Step 1: Set equations equal to find b, in terms of a a2-b=b2-a a2-b2=b-a (rearrange terms) (a+b)(a-b)=b-a (left side is difference of squares) a+b=-1 (after dividing both sides by a-b, which isn't 0 because it's given that a/=b) b=-a-1 Step 2: Substitute b=-a-1 in the first given equation and solve the quadratic. a2-(-a-1)=43 (substituting b=-a-1) a2+a-42=0 (arithmetic, shuffle terms) (a+7)(a-6)=0 (factor) Thus a=-7 or a=6 Step 3: You now have a-=7, b=6 (or vice versa), thus you have the answer: a2+b2=49+36=85
I don't see how your way is much different honestly 😂 Step 1 is basically the same and for me step 2 would be slightly slower
@@InDstructR I think the two ways are different! Your way is using linear combination, and the approach is to find a^2+b^2 as one expression -- without finding a and b independently. My way is using substitution to find a directly, then plugging it in to find a^2+b^2. In general I have found that students find substitution easier than linear combination, especially when the trick of how to multiply/add/subtract equations isn't obvious.
I tell you the answer value for the big X and small x are 11
But, x=4.093 does not satisfy the equation : x^x = 121 because (4.093)^(4.093) = 319.95....
This was carried out to take an approximate value. I should have taken a few more digits after the decimal point.
@@Math_Minds That would not have mattered, the answer is not at all correct. The value that works is about 3.68.
√(100%) = √1 = 1 = 100% √(100%) = √(1 00/100) = √(100) / √(100) = 1 = 100%
sqrt(100%) = sqrt(1) = 1 = 100%
stupid
I don't like the notation to be honest
😂
Thanks alot for your handwork sir❤
You are welcome...
By the thumbnail, I solved it like this (I havent watched the vid, YET): 2a^2 - 2b^2 = 98 divide both sides by two a^2-b^2=49 (a+b)(a-b)=49 Set up a system of equations: a-b=1 a+b=49 a=1+b 1+b+b=49 2b+1=49 b=24 a=1+b a=1+24 a=25 Edit: he did the same thing as me
Thank you.
Isn't a=7 and b=0 also a solution?
But a, b are positive integers.
The domain N include 0 this mean a+b≥a-b and this mean 7 and 0 are solutions
@younessms1320 No, N = {1, 2, 3....}.
@@Math_Minds there is a country's that include 0 in N and there is other not but in my country we include 0 in the natural domain
Natural numbers are also known as counting numbers because they do not include zero or negative numbers. They are a part of real numbers including only the positive integers, but not zero, fractions, decimals, and negative numbers. That's what Google says
Thanks alot sir
Always welcome.
X=1
6! times 7! is obviously 43! Case closed
No no
wow
Thank you.
I'm guessing you find the square roots of 48 and 49 and subtract them and then find the square root of that?
No. Because then you won't get an exact value (unless your calculator will give you the answer 2 - √3, which not all calculators will).
@OmnipresentPotato Hmm, I see.
X=1
13, 21, 34, 55, 89
13
This is hardly a 15 sec ans. 7! * 6! Just elaborate 6! 6*5*4*3*2 Form next numbers of 7! i.e 8.9.10... 8=4*2 9=3*3 Left with 2*5 = 10 So 10!
-> Assume answer exists in form integer factorial -> realise answer must be larger than 6! -> realise answer must have a second factor 5 on top of the 5th index, hence must be at least 10! -> realise answer cannot have any prime numbers larger than 7 as factors, hence must be less than 11! answer is 10!
me as well, realised it should be atleast 10 factorial because of the 2 5s on the left and cannot be greater than or equal to 11 factorial since the 11 wouldn't cancel out
3 million factorial, is astronomical.
Wtf am i doing here
I have no idea bro. I landed here too.
I just found it, and now I'm quite happy.
Same
So simple X=4 Y=3 X²+XY=28 Y²+XY=21 So 4²+(4*3)=28 16+12=28 3²+(4*3)=21 9+12=21