Question

If x+1/x=√5 then x^3+1/x^3 =what

Answer 1

Answer:

2√5

Step-by-step explanation:

(x+1/x)^3=√5^3

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

√5^3=x^3+1/x^3+3(√5)

5√5-3√5=x^3+1/x^3

2√5=x^3+1/x^3