Question

МАТЕМАТИКИ НУЖНЫ
Нужно сократить дробь​

Answer 1

Ответ:

$4 {x}^{2} + 11x - 3 = (x - \frac{1}{4} )(x + 3) \\ D = 121 + 48 = 169 \\ x_1 = \frac{ - 11 + 13}{8} = \frac{1}{4} \\ x_2 = \frac{ - 24}{8} = - 8 \\ \\ \frac{(x - \frac{1}{4} )(x + 3)}{4 {x}^{2} - 36} = \frac{(4x - 1)(x + 3)}{4( {x}^{2} - 9)} = \\ = \frac{(4x - 1)(x + 3)}{4(x - 3)(x + 3)} = \frac{4x - 1}{4(x - 3)}$