Answer:
1) x = 3
2) x = 6
3)x = 8
Explanation:
1. (x+10)² = (x+9)² + 5²
x² + 20x + 100 = x² + 18x + 81 + 25
x² - x² + 20x - 18x = 81 + 25 - 100
2x = 6
x = 3
2. (x-1)² = (x-3)² + 4²
x² -2x + 1 = x² - 6x + 9 + 16
x² - x² - 2x + 6x = 9 + 16 - 1
4x = 24
x = 6
3. (5x - 1)² = (4x + 4)² + (3x - 9)²
25x² - 10x + 1 = 16x² + 32x + 16 + 9x² - 54x + 81
25x² - 10x + 1 = 25x² - 22x + 97
25x² - 25x² - 10x + 22x =97 - 1
12x = 96
x = 8