Question

Решите графическое уравнение
2x^2 = -4x + 6

Answer 1

$2x {}^{2} = - 4x + 6 \\ 2x {}^{2} + 4x - 6 = 0 \\ 2(x {}^{2} + 3x - x - 3) = 0 \\ 2(x(x + 3) - (x + 3)) = 0 \\ 2(x - 1)(x + 3) = 0 \\ 2(x - 1)(x + 3) \div 2 = 0 \div 2 \\ (x - 1)(x + 3) = 0$

1)

$x - 1 = 0 \\ x = 1$

2)

$x + 3 = 0 \\ x = - 3$

$x1 = - 3 \\ x2 = 1$