perplexus.info :: Just Math : Real Value Validation

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

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Comment 3 of 3 |

2
assume real values and check
x=1 y=1
z=0
1+1=2 --eq1 satisfy
1*1-0=1---eq2 satisfy
so X⁵ + Y⁵ + Z^{5
= 1+1+0=2}

Posted by SOURAV PODDAR on 2015-02-02 08:15:28

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