Question

if x+1/x=2 then find the value of (x-1/x)^3​

Answer 1

Given :

• x + 1/x = 2

To Find :

• Value of ( x - 1/3 )³

Solution :

→ x + 1/x = 2

→ x² + 1 = 2x

→ x² - 2x + 1 = 0

→ x² - 1x - 1x + 1 = 0

→ x ( x - 1 ) - 1 ( x - 1 ) = 0

→ ( x - 1 ) ( x - 1 ) = 0

→ x = 1

Put value of x in ( x - 1/3 )³

→ ( 1 - 1/3 )³

→ [ ( 3 - 1 )/3 ]³

→ ( 2/3 )³

→ 8/27