Question

If x^2 + 1/x^2 = 11 then find x^3 + 1/x^3

Pls do it

Answer 1

Answer:

x²+1/x²=11

=>(x+1/x)²−2x(1/x)=11

=>(x+1/x)²=13

=>(x+1/x)=√13

now,

x³+1/x³=(x+1/x)³−3(x)(1/x)(x+1/x)

=>13³/²−3(√13)