Question

if (x+1/x)^2=3 ,show that x^3+1/x^3=0​please give the solution

Answer 1

Answer:

given (x+1/x)^2=3

(x+1/x)=√3

formula

(x+1/x)^3=x^3+1/x^3+3(x+1/x)

(√3)^3=x^3+1/x^3+3√3

√3*√3*√3=x^3+1/x^3+3√3

3√3=x^3+1/x^3+3√3

=> x^3+1/x^3=0 hence proved..