SOLUTION: Let x, y, z be nonzero real numbers such that {{{x + y + z = 0}}}, and {{{xy + xz + yz != 0}}}. Find all possible values of {{{(x^5+y^5+z^5)/((xyz)(xy+xz+yz))}}}.Enter all possible

Question 1156961: Let x, y, z be nonzero real numbers such that , and . Find all possible values of .Enter all possible values, separated by commas.
I didn't know how to enter "not equal to" so I just put !, refers to not function in coding.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
Let x, y, z be nonzero real numbers such that ,
and . Find all possible values of





Substitute for z









Divide top and bottom by (x+y)













So -5 is the only value it can have.

Edwin

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