Question

If x+1/x=√3,evaluate x³+1/x³​

Answer 1

Answer:

Step-by-step explanation:

Given that,

( x + 1/x ) = √3

Cubing on both sides

( x + 1/x )³ = ( √3 )³

x³ + 1/x³ + 3 × x³ × 1/x³ ( x +1/x ) = 3√3 [∵(a + b)³ = a³+b³ + 3ab (a +b )]

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 is the answer.