Question

Помогите решить оч. срочно
Решите иррациональное ур-ие
√x-x=-12

Answer 1

√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

Answer 2

$\sqrt{x} -x=-12\\ \sqrt{x} =-12+x\\ \sqrt{x} =x-12\\ \\ x= x^{2} +144-24x\\x- x^{2} -144+24x=0\\- x^{2} +25x-144=0\\ x^{2} -25x+144=0\\D=625-576=49\\ \sqrt{D} =7\\ x_{1} = \frac{25+7}{2} =16\\\\ x_{2} = \frac{25-7}{2} =9$

$x \neq 9\\\\\\\x=16$