Question

помогите с номером 33​

Answer 1

Пошаговое объяснение:

$1)\frac{x}{x + 1} - \frac{1}{ {x}^{2} + x } = \frac{1}{x} \\ {x}^{2} - 1 = x + 1 \\ {x}^{2} - x - 2 = 0 \\ \\ x1x2 = - 2 \\ x1 + x2 = 1 \\ \\ x1 = 2 \\ x2 = - 1$

$2) \frac{x}{x - 2} - \frac{4}{ {x}^{2} - 2x} = \frac{1}{x} \\ {x}^{2} - 4 = x - 2 \\ {x}^{2} - x - 2 = 0 \\ x1x2 = - 2 \\ x1 + x2 = 1 \\ \\ x1 = 2 \\ x2 = - 1$

$3) {x}^{2} - 3 \sqrt{ {x}^{2} } = 10 \\ {x}^{2} = y \\ y - 3 \sqrt{y} = 10 \\ {y}^{2} - 9y = 100 \\ {y}^{2} - 9y - 100 = 0 \\ d = 81 + 400 = 481 \\ \sqrt{d} = 22 \\ y1 = \frac{9 - 22}{2} = \frac{ - 13}{2} = - 6.5 \\ y2 = \frac{9 + 22}{2} = \frac{31}{2} = 15.5 \\ \\ {x1}^{2} = - 6.5 \: its \: unreal \\ {x2}^{2} = 15.5 \\ \\ x2 = \sqrt{15.5}$