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 Real Value Validation (Posted on 2015-02-01)
Each of X, Y and Z is a real number that satisfies both of these equations:
X + Y = 2, and:
X*Y - Z2 = 1

Find the value of X5 + Y5 + Z5

 No Solution Yet Submitted by K Sengupta No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Quick and dirty (spoiler) | Comment 2 of 3 |
(In reply to Quick and dirty (spoiler) by Steve Herman)

Yes.

Alternatively: x(2-x)-1 =z^2; -(x-1)^2 = z^2, and z has to be 0, so x is 1. y+1=2 simplifies to y=1.

So x5 + y5 + z5= 2.

Edited on February 1, 2015, 11:34 pm
 Posted by broll on 2015-02-01 23:28:57

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