x +1/x =3+2 root 2 then x cube +1/x cube equals how much
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Given : x+1/x=3/2 root2
x^3+(1/x)^3 = (x+1/x)(x^2-x.1/x+(1/x)^2
= 3/2root2(x^2-1+1/x^2)
= 3/2 root2 x^2-3/2 root2
3/2 root2 x^2
= 6/2 root2 x^2 - 3/2 root2
x^3+(1/x)^3 = 3/root2 x^2 - 3/2 root2
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