Question

if (x+1/x)² = 3, find x³+1/x³​

Answer 1

HERE IS YOUR ANSWER

Hope it helps ☺️

Answer 2

Answer:

Step-by-step explanation:

Given that,

( x + 1/x )² = 3 ⇒( x + 1/x ) = √3

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

= ( √3 )³ - 3 ( √3 )

= 3√3 - 3√3

= 0 is the answer.