Question

$\frac{6}{ {x}^{2} } - \frac{12}{x} = 3$
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Answer 1

Объяснение:

$\frac{6}{x^2} -\frac{12}{x}=3$

ОДЗ: х²≠0    х≠0.

$\frac{6}{x^2} -\frac{12}{x} -3\ |*x^2\\6-12x=3x^2\\3x^2+12x-6=0\ |:3\\x^2+4x-2=0\\D=24\ \ \ \ \sqrt{D}=2\sqrt{6} \\x_1=-2-\sqrt{6} \ \ \ \ x_2=-2+\sqrt{6}.$

Ответ: x₁=-2-√6     x₂=-2+√6.