Answer:
a) x = 9 b) x = 10
Explanation:
a)
6² + (x - 1)² = (x + 1)²
36 + x² - 2x + 1 = x² + 2x + 1
36 = 4x
x = 9
b)
x² + (x + 14)² = 26²
x² + x² + 28x + 196 = 676
2x² + 28x = 480
2x² + 28x - 480 = 0
x² + 14x - 240 = 0
(x + 24)(x - 10) = 0
x = -24 or 10