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Real Value Validation (
Posted on 20150201
)
Each of X, Y and Z is a
real number
that satisfies both of these equations:
X + Y = 2, and:
X*Y  Z
^{2}
= 1
Find the value of X
^{5}
+ Y
^{5}
+ Z
^{5}
No Solution Yet
Submitted by
K Sengupta
No Rating
Comments: (
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)
Quick and dirty (spoiler)
 Comment 1 of 3
If x + y = 2, then the maximum value of xy is when x = y = 1.
So xy <=1
So z^2 = xy  1 <= 0
So z must be 0 and x and y must be 1.
x^5 + y^5 + z^5 = 2
Posted by
Steve Herman
on 20150201 10:58:41
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