Answer:
x = 4
Step-by-step explanation:
[tex] {x}^{2} = {(8 - x)}^{2} [/tex]
[tex] = > {x}^{2} = {x}^{2} - 16x + 64[/tex]
[tex] = > {x}^{2} - {x}^{2} + 16x = 64[/tex]
[tex] = > 16x = 64[/tex]
[tex] = > x = \frac{64}{16} = 4[/tex]
(8 - x)² = x²
=> 8 - x = x or 8 - x = -x (rejected)
=> x = 4.
