Question

Сократите дробь: x²-9/2x²+12x+18

Answer 1

$\frac{(x - 3)(x + 3)}{2( {x}^{2} + 6x + 9)} = \frac{(x - 3)(x + 3)}{2 {(x + 3)}^{2} } = \frac{(x - 3)}{2(x + 3)} \\ \\ {x}^{2} + 6x + 9 = 0 \\ d = 36 - 36 = 0 \\ x1 = x2 = \frac{ - 6}{2} = - 3 \\ {(x + 3)}^{2} = 0$