Question

Решите графическое уравнение ​

Answer 1

Ответ:

2; 4

Пошаговое объяснение:

$\frac{8}{x} = 6 - x \: \: | \: \times x \\ 8 = x(6 - x) \\ 8 = 6x - {x}^{2} \\ {x}^{2} - 6x + 8 = 0 \\ D = {( - 6)}^{2} - 4 \times 1 \times 8 = 36 - 32 = 4 \\ \sqrt{D} = \sqrt{4} = 2 \\ x_{1} = \frac{6 + 2}{2} = \frac{8}{2} = 4 \\ x_{2} = \frac{6 - 2}{2} = \frac{4}{2} = 2$