Question

решите пожалуйста уравнение подробно​

Answer 1

Ответ:

$x_1 = - 3.5 \\ x_2 = 5$

Пошаговое объяснение:

$9( {x}^{2} - 5) = (7x + 10)(x - 1) \\ 9( {x}^{2} - 5) - (7x + 10)(x - 1) = 0 \\ 9 {x}^{2} - 45 - (7 {x}^{2} - 7x + 10x - 10) = 0 \\ 9 {x}^{2} - 45 - (7 {x}^{2} + 3x - 10) = 0 \\ 9 {x}^{2} - 45 - 7 {x}^{2} - 3x + 10 = 0 \\ 2 {x}^{2} - 35 - 3x = 0 \\ 2 {x}^{2} - 3x - 35 = 0 \\ 2 {x}^{2} + 7x - 10x - 35 = 0 \\ x(2x + 7) - 5(2x + 7) = 0 \\( 2x + 7)(x - 5) = 0 \\ 2 x + 7 = 0 \\ 2x = - 7 \\ x = \frac{ - 7}{2} \\ x_1 = - 3.5 \\ x - 5 = 0 \\ x_2 = 5$