Question

If (x+1/x)=6 then {x^2+(1/x)^2}

Answer 1

x+1/x=6
Square both sides
(x+1/x)^2=6^2......(1)

Solve by using identities (a+b)^2=a^2+b^2+2ab

(x+1/x)^2=6^2
x^2+1/x^2+2 * x * 1/x =36
x^2+1/x^2+2 =36
x^2+1/x^2=36-2=34

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