Part 8

Algebra Level 5

Given a function: f ( x ) = x ( 2015 + 2017 x 2 ) f(x)=x\left(2015+\sqrt{2017-x^2}\right) Let the smallest value be A A and the largest value be B B . Find A × B A\times B .


The answer is -8193540096.

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1 solution

Somyaneel Sinha
Jan 15, 2016

Differentiate once equate this to 0 and then hit and try for x^2 to obtain x^2=2016 (a bit predictable). Replace this in original eqn to obtain

A=-(2016)^3/2 and B =(2016)^3/2. Thus A×B = -2016^3=-8193540096.

A nicely hidden 2016 !

Ok thanks

Son Nguyen - 5 years, 5 months ago

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I hope to take classes from you MS HT. I am waiting for reply (I really hope that you accept my request)!

Akhash Raja Raam - 5 years ago

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