Answer:
17
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 =
= 17