Question

If (x+1/x)²=3,find x³+1/x³.​

Answer 1

Hey Buddy Here's Your Answer with explanation

Step-By-Step Explanation:-

Given → (x+1/x)²= 3

=> x+1/x = √3 ..................... (i)

=> x³+ 1/x³ = (x+1/x)³ - 3( x+1/x)

=> x³+1/x³ = {√3}³ - 3(√3) .................... from (i)

=> x³+1/x³= 9 - 3√3

So, x³+1/x³ = 9-3√3. Ans.

Hope It Helps You!!!!! :) :)