If x + 1/ x =a then x^2 + 1/x^2 =
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x + 1 / x = a
Square both side
( x + 1 / x )^2 = a^2
x^2 + (1/x)^2 + 2 . x . 1 / x = a^2
x^2 + (1/x)^2 + 2 = a^2
x^2 + 1/x^2 = a^2 - 2
Square both side
( x + 1 / x )^2 = a^2
x^2 + (1/x)^2 + 2 . x . 1 / x = a^2
x^2 + (1/x)^2 + 2 = a^2
x^2 + 1/x^2 = a^2 - 2
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