Math Olympiad | A tricky question from Oxford University Interview👇

Math Olympiad | A tricky question from Oxford University Interview👇
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A tricky question from Oxford University Interview

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Maths Olympaid are held all around the world to recognise students who excel in maths.
Thanks for Watching

[Maheshkumar-cwun]

Very much needed to understand this.thanks

[prasadpabolu]

X^2 * (1-x) = 4^2 * 5

So, x^2 = 4^2 = (+/- 4) ^2 or (1-x) = 5

X = +/-4. Here x = -4 fits the equation.

1-x = 5, *x = -4*

[madurappankalyanaraman]

X should be equal to -4

, (-4)² -(-4)³
= 16+64=80

[mrinaldas]

One can suggest dependence on observation. It could be seen at least one real root would be negative. Mental iteration would show that it is -4. Now the given expression could be factorised easily knowing that (x+4) is a factor.

[marceliusmartirosianas]

x^2-X^3=80[=] 2/3x=40^2=2 =[ 2-3x= 2]=[-3x= 2-2=2=[ 1= ]x=1