Решите уравнения: 1) 36 х² - (3 х-27) ²=0

2) (4 х-7) ² - (2 х+17) ²=0

1) 36x² - (3x - 27) ² = 0

(6x - (3x-27)) (6x + (3x-27)) = 0

(6x-3x+27) (6x+3x-27) = 0

(3x+27) (9x - 27) = 0

3 (x+9) * 9 (x - 3) = 0

27 (x+9) (x - 3) = 0

x+9 = 0, x = - 9

x - 3 = 0, x = 3

ответ: x = - 9, x = 3

2) (4x - 7) ² - (2x+17) ² = 0

(4x-7 - (2x+17)) (4x-7 + (2x+17) = 0

(4x-7 - 2x-17) (4x-7 + 2x+17) = 0

(2x - 24) (6x + 10) = 0

2 (x - 12) * 2 (3x + 5) = 0

4 (x - 12) (3x + 5) = 0

x - 12 = 0, x = 12

3x+5 = 0, 3x = - 5, x = - 5/3 = - 1 2/3 (минус одна целая две третьих)

ответ: x = - 1 2/3, x = 12