Question

If X +1/X = √3, Find the value of x^3 + 1 /x ^3

Answer 1

Answer :

The required answer is 0.

Step-by-step explanation :

Given :

x + 1 / x = √3

On cubing both the sides,

( x + 1 / x )³ = ( √3 )³

⇒ x³ + 1 / x³ + 3 ( x + 1 / x ) = 3 √ 3

⇒ x³ + 1 / x³ + 3 ( √ 3 ) = 3 √ 3

⇒ x³ + 1 / x³ + 3 √ 3 = 3 √ 3

⇒ x³ + 1 / x³ = 3 √ 3 - 3 √ 3

⇒ x³ + 1 / x³ = 0

Hence, the value of x³ + 1 / x³ = 0