Question

solve the equation in the photo

Answer 1

Hlo friemd here is your answer.

= x = 1 -√2

= 1 / x = 1 / 1 - √2

= Rationaliaing the 1 / x

= 1 / ( 1 - √2 ) * ( 1 + √2 ) / ( 1 + √2 )

= 1 + √2 / ( 1 - √2 ) * ( 1 + √2 )

= Using
$(a + b)(a - b) = {a}^{2} - {b}^{2}$

= so 1 + √2 / ( 1 - √2 ) * ( 1 + √2 )

= 1 + √2 / ( 1 )² - (√2 )²

= 1 + √2 / 1 - 2

= 1 + √2 / - 1

= 1 / x = - 1 - √2

= so ( x - 1 / x ) = [ ( 1 - √2 ) - ( -1 -√2 )]

= 1 - √2 + 1 + √2

= 2

so ( x - 1 / x )³ = 2³

= ( x - 1 / x ) = 8