Question

If x + 1÷x = 8 then x power 2 + 1÷ x power 2 = ?

Answer 1

x + 1/x = 8

Squaring both sides,

(x + 1/x)^2 = 8^2

x^2 + 1/x^2 + 2*x*1/x = 64

x^2 + 1/x^2 + 2 = 64

x^2 + 1/x^2 = 64-2

x^2 + 1/x^2 = 62.

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