Question

найдите все корени уравнения​

Answer 1

$x\neq0 \: \: \: \: \: \: \: \: x\neq - 3 \\ \frac{5}{x + 3} - \frac{3}{x} = \frac{2 - x}{ {x}^{2} + 3x} \\ \frac{5}{x + 3} - \frac{3}{x} - \frac{2 - x}{x(x + 3)} = 0 \\ \frac{5x - 3(x + 3) - (2 - x)}{x(x + 3)} = 0 \\ \frac{5x - 3x - 9 - 2 + x}{x(x + 3)} = 0 \\ \frac{3x - 11}{x(x + 3)} = 0 \\ 3x - 11 = 0 \\ 3x = 11 \\ x = \frac{11}{3} \\ x = 3 \frac{2}{3}$