Question

решите уравнение
5/х=2x

Answer 1

ОДЗ: $\displaystyle \tt x\ne0$

$\displaystyle \tt \frac{5}{x}=2x\:\:\:\:\:\bigg|\cdot x\\\\ \displaystyle \tt 5=2x^2\\\\ \displaystyle \tt 2x^2=5\\\\ \displaystyle \tt x^2=\frac{5}{2}\\\\ \displaystyle \tt x^2=2,5\\\\ \displaystyle \tt \bold{x_1=\sqrt{2,5}}\\\\\displaystyle \tt \bold{x_2=-\sqrt{2,5}}$