Question

x +1/x =3+2 root 2 then x cube +1/x cube equals how much

Answer 1

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