Giải phương trình sau : 150/x = 10/3 + 150 - 3x/6

* Hướng dẫn giải

$\begin{array}{l}\frac{150}{x}=\frac{10}{3}+\frac{150-3x}{6}\left(x\ne 0\right)\\ \iff \frac{150}{x}=\frac{20+150-3x}{6}\iff \frac{170-3x}{6}=\frac{150}{x}\\ \iff 170x-3x^2=900\iff 3x^2-170x+900=0\\ \Delta =18100\Rightarrow \left[\begin{array}{l}{x}_1=\frac{170+10\sqrt{181}}{6}\\ x_2=\frac{170-10\sqrt{181}}{6}\end{array}\right.\end{array}$