Решить оч. решите иррациональное ур-ие √x-x=-12

√x - x = - 12
√x = x - 12
x = (x - 12)²
x = (x - 12)(x - 12)
x = x² - 12x - 12x + 144
x = x² - 24x + 144
x - x² + 24x - 144 = 0
- x² + 25x - 144 = 0
x² - 25x + 144 = 0
D = b² - 4ac
D = ( - 25)² - 4 × 1 × 144 = 625 - 576 = √49 = 7
x₁ = 25 + 7 / 2 = 16
x₂ = 25 - 7 / 2 = 9

ответ: x₁ = 16, x₂ = 9