Einstein Failed To Solve This Simple Problem | Math Olympiad

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In todays video, I will be teaching you how to solve an interesting problem. Make sure to like, subscribe, and also comment any questions or video ideas you may have relating to math!
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Everyone, watch the video instead of scrolling to the end and seeing the solution. He solves a separate question in the second half of the video

dragicmagic
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If einstein couldn't solve this problem, the earth is flat. Wow I had almost forgotten how to solve it, thank you!

quatsch
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an eighth rotation from 1 toward -1, with a magnitude of 9^(1/4)0
or also 3, 5, 7 eighths rotations, so
1.1892( (1 or -1) + (i or -i) ) for the four unique solutions

HJ_
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1^4 and 2^4 don't equal -9 💀 . Isn't the answer just (+ - i fourth rt√9) ?

Shaia_TeamLCE
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So you "checked" your answer... you're telling me that 1^4 and 2^4 are both -9?

goddam
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Use -1=e^(i pi): x^4 = -9 = 9 e^(i pi) so x = sqrt(3) e^( i pi/4 + i n pi/2) (Since 1 = e^(2n pi i))

byronwatkins
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x⁴=-9
(x²)²=-9
let t=x²
t²=-9
t=±3i
x²=±3i
x_1=√(3i), x_2=i√(3i), x_3=-√(3i), x_4=-i√(3i)

Why-kb_
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yep both x=1 and x=2 are wrong, x=1 would be 1^4=1 which is not =-9 and x=2 would be 2^4=16 which also isnt equal to -9.

urzaserra
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+/- (-9)^1/4….this is the right solution

destruidor