Question

помогите решить уравнение $-6+4x-5x^{2}=-9x^{2} -11x+13$

Answer 1

-5х²+4х-6=-9х²-11х+13
4х²+15х-19=0
(х-1) (4х+19)=0
х-1=0 или 4х+19=0
х=1 или 4х=-19
Ответ : х=1 или х= -19/4

Answer 2

Объяснение:

$- 6 + 4x - 5x {}^{2} = - 9x {}^{2} - 11x + 13 \\ - 6 + 4x - 5x {}^{2} + 9x {}^{2} + 11x - 13 = 0 \\ - 19 + 15x + 4x {}^{2} = 0 \\ 4x {}^{2} + 15x - 19 = 0$

$a = 4.b = 15.c = - 19 \\ d = 225 - 4 \times 4 \times ( - 19) \\ \sqrt{d} = \sqrt{529} = 23 \\ x1 = \frac{ - 15 + 23}{8} = 1 \\ x2 = \frac{ - 15 - 23}{8} = - 4.75$