if (x2 + 1/x2) =8, then (x4 + 1/x4) is equal to :
2 and 4 are powers
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x^2 + 1/x^2 = 8
take square both sides
(x^2 + 1/x^2 )^2 = 64
x^4 + 1/x^4 + 2.1/x^2.x^2 = 64
x^4 + 1/x^4 + 2 = 64
x^4 + 1/x^4 = 62
take square both sides
(x^2 + 1/x^2 )^2 = 64
x^4 + 1/x^4 + 2.1/x^2.x^2 = 64
x^4 + 1/x^4 + 2 = 64
x^4 + 1/x^4 = 62
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