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If x^3+y^3+z^3 = x^2+y^2+z^2 = x+y+z = 1 then what would be the max value of xyz?

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If x^3+y^3+z^3 = x^2+y^2+z^2 = x+y+z = 1 then what would be the max value of xyz?
posted Sep 7, 2017 by anonymous

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1 Answer

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If x^3+y^3+z^3 = x^2+y^2+z^2 = x+y+z = 1,

There could be 3 possibilities.

(1) x=0, y=0, z=1
(2) x=0, y=1, z=0
(3) x=1, y=0, z=0

So, max value of xyz=1

answer Dec 31, 2017 by Yasin Hossain Siinan



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