Question

(X-2)^2+8^2=x^2 how do U find the answer

Answer 1

Answer:

17

Step-by-step explanation:

Given expression;

            (x - 2)²  + 8²   = x²  

 To solve this problem, expand the expression in the parentheses;

      (x- 2)(x -2)  + 64  = x²

     ( x² - 2x -2x + 4) + 64  = x²

        x² - 4x + 4 + 64  = x²

        x² - 4x + 68  = x²

 Collect like terms;

           x² - x² - 4x + 68  = 0

                     -4x  = -68

                       x  = $\frac{68}{4}$  = 17