Question

If x²+1/x²=17/4,find the value of x³+1/x³.

Answer 1

$(x + y) {}^{2} = x {}^{2} + y {}^{2} + 2xy \\ (x + y) {}^{3} = x {}^{3} + y {}^{3} + 3x {}^{2} y {}^{2} ( {x}^{2} + y {}^{2} )$
23/8