# Answer to Question #21930 in Algebra for M E Haider

If x+1/x ≠ 0
x^3 + 1/ x^3 =0
find x^5+ 1/ x^5

1
2013-01-14T09:04:40-0500

x^3 + 1/ x^3 =0

x^3 = -1/x^3

x=-1/x

hence

x^5+1/x^5 = x^5-x^5 = 0

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