Question

Решите 1 пожалуйста​

Answer 1

Ответ:

$x = 3$

Объяснение:

$x≠4 \: \: \: \: \: \: \: x≠ - 4 \\ \frac{x + 2}{x - 4} - \frac{48}{(x - 4)(x + 4) } = \frac{13}{7} \\ \frac{(x + 4)(x + 2) - 48}{(x - 4)(x + 4)} = \frac{13}{7} \\ \frac{ {x}^{2} + 6x - 40 }{(x - 4)(x + 4)} = \frac{13}{7} \\ \frac{ {x}^{2} + 10x - 4x - 40}{(x - 4)(x + 4)} = \frac{13}{7} \\ \frac{x(x + 10) - 4(x + 10)}{(x - 4)(x + 4)} = \frac{13}{7} \\ \frac{(x + 10)( x - 4)}{(x + 4)(x - 4)} = \frac{13}{7} \\ \frac{x + 10}{x + 4} = \frac{13}{7} \\ 7(x + 10) = 13(x + 4) \\ 7x + 70 = 13x + 52 \\ 7x - 13x = 52 - 70 \\ - 6x = - 18 \\ x = \frac{ - 18}{ - 6} \\ x = 3$