Question

ПОМОГИТЕ ПОЖАЙЛУСТА РЕШИТТЬЬ ,ДАМ 30 БАЛЛОВ ♥️♥️

Answer 1

Объяснение:

$1) {x}^{2} + 10 x - 24 = {x}^{2} + 12x - 2x - 24 = x(x + 12) -2(x + 12) = (x + 12)(x - 2)$

$2) 3 {x}^{2} - 11x + 6 = 3 {x}^{2} - 2x - 9x + 6 = x(3x - - 3(3x - 2) = (3x - 2)(x - 3)$

${x}^{4} - 24 {x}^{2} - 25 = 0 \: \: \: |t = {x}^{2} \\ {t}^{2} - 24t - 25 = 0 \\ {t}^{2} + t - 25t - 25 = 0 \\ (t + 1)(t - 25) = 0 \\ \\ t + 1 = 0 \\ t - 25 = 0 \\ \\ t = - 1 \\ t = 25 \\ \\ {x}^{2} = - 1 \\ {x }^{2} = 25 \\ \\ x \notin \: R \\ х = -5 \\ х = 5$

$2) \frac{ {x}^{2} + 5x}{x - 1} = \frac{6}{x - 1} \\ {x}^{2} + 5 = 6 \\ {x}^{2} = 1 \\ x = ± \: 1 \\ \\ x = - 1 \\ x ≠1 \\ \Otvet : x = - 1$

$3) \frac{3 {a}^{2} - 5a - 2}{ {a}^{2} - 4 } = \frac{(3a + 1)(a - 2)}{(a - 2)(a + 2)} = \frac{3a + 1}{a + 2}$