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Answer to Question #21930 in Algebra for M E Haider
Question #21930
If x+1/x ≠ 0
x^3 + 1/ x^3 =0
find x^5+ 1/ x^5
x^3 + 1/ x^3 =0
find x^5+ 1/ x^5
Expert's answer
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
x^3 = -1/x^3
x=-1/x
hence
x^5+1/x^5 = x^5-x^5 = 0
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