Question

(x-2)²+48=(2-3x)² пжжпжпжпжпжпжп

Answer 1

Ответ:

- 2 ; 3

Объяснение:

$(x - 2) {}^{2} + 48 = (2 - 3x) {}^{2} \\ x {}^{2} - 4x + 4 + 48 = 4 - 12x + 9x {}^{2} \\ x {}^{2} - 4x + 48 = - 12x + 9x {}^{2} \\ x {}^{2} - 4x + 48 + 12x - 9x {}^{2} = 0 \\ - 8x {}^{2} + 8x + 48 = 0 | \div ( - 8) \\ x {}^{2} - x - 6 = 0 \\ D = 1 + 24 = 25 = 5 {}^{2} \\ x_{1} = \dfrac{1 - 5}{2} = - \dfrac{4}{2} = - 2 \\ x_{2} = \dfrac{1 + 5}{2} = \frac{6}{2} = 3$