Question

If x+1/x=√3 then find the value of x³+1/x³​

Answer 1

Answer:

x+1/x=√3

Cubing on both LHS and RHS we get,

(x+1/x)^3=(√3)^3

X^3+(1/x^3)+3(x+(1/x))=3√3

x^3+1/x^3+3(√3)=3√3

x^3+1/x^3+3√3−3√3=0

x^3+1/x^3=0

Answer 2

Step-by-step explanation:

x^3+1/x^3= 3root3

a^3+b^3+3ab(a+b)