Question

помогите решить что знаете

Answer 1

Ответ:

$1) \frac{x + 4}{x + 3} = \frac{x - 1}{x - 1} \\ \frac{x + 4}{x + 3} = 1 \\ x + 4 = x + 3 \\ 4 = 3$

пустое множество

$2) \frac{x + 1}{x - 1} = 5 - x \\ x + 1 = 5(x - 1) \\ x + 1 = 5x - 5 \\ x - 5x = - 5 - 1 \\ - 4x = - 6 \\ x = \frac{ - 6}{ - 4} = 1.5$

$\frac{1}{x} + \frac{2}{x + 1} = 2 \\ x + 1 + 2x - 2x(x + 1) = 0 \\ x + 1 + 2x - 2x {}^{2} - 2x = 0 \\ x + 1 - 2x {}^{2} = 0 \\ 2 {x}^{2} - x - 1 = 0 \\ d = b {}^{2} - 4ac = 1 - 4 \times 2 \times ( - 1) = 1 + 8 = 9 \\ \sqrt{d} = \sqrt{9} = 3 \\ x_1 = \frac{b - \sqrt{d} }{2a} = \frac{1 - 3}{4} = - \frac{2}{4} = - 0.5 \\ x_2 = \frac{d + \sqrt{d} }{2a} = \frac{1 + 3}{4} = 1$