Question

Даю 25 баллов
Помогите решить​

Answer 1

$1) \frac{x - 5}{x + 3} + \frac{x + 3}{x - 5} = - \frac{5}{2} \\ 2(x - 5) {}^{2} + 2(x + 3) {}^{2} = - 5(x - 5)(x + 3) \\ 2( {x}^{2} - 10x + 25) + 2( {x}^{2} + 6x + 9) = - 5( {x}^{2} - 2x - 15) \\ 2 {x}^{2} - 20x + 50 + 2 {x}^{2} + 12x + 18 = - 5 {x}^{2} + 10x + 75 \\ 9 {x}^{2} - 18x - 7 = 0 \\ d = 18 {}^{2} + 4 \times 7 \times 9 = 576 = {24}^{2} \\ x1 = \frac{18 + 24}{2 \times 9} = \frac{42}{18} = \frac{7}{2} \\ x2 = \frac{18 - 24}{2 \times 9} = \frac{ - 6}{18} = - \frac{1}{3}$