Question

What is the value of x for which (8-x)^2=x^2

Answer 1

Explanation:

(8 - x)² = x²

=> 8 - x = x or 8 - x = -x (rejected)

=> x = 4.

Answer 2

x = 4

Explanation:

`{x}^(2) = {(8 - x)}^(2)`

`= > {x}^(2) = {x}^(2) - 16x + 64`

`= > {x}^(2) - {x}^(2) + 16x = 64`

`= > 16x = 64`

`= > x = (64)/(16) = 4`