Question

Tìm x: 

\(\frac{4}{5}x^2\left(\frac{x}{3}-\frac{1}{2}\right)-\left(\frac{1}{5}x-\frac{2}{3}\right)\left(\frac{4x^2}{3}+1\right)=\frac{22}{45}x^2\)

Answer 1

PT <=> \(\frac{4}{5}x^2\left(\frac{x}{3}-\frac{1}{2}\right)-\frac{4}{3}x^2\left(\frac{1}{5}x-\frac{2}{3}\right)-\frac{22}{45}x^2-\left(\frac{1}{5}x-\frac{2}{3}\right)=0\)

<=> \(x^2\left(\frac{4x}{15}-\frac{2}{5}-\frac{4x}{15}+\frac{8}{9}-\frac{22}{45}\right)-\left(\frac{1}{5}x-\frac{2}{3}\right)=0\)

<=> \(x^2.0-\frac{1}{5}x+\frac{2}{3}=0\)

<=> \(\frac{1}{5}x=\frac{2}{3}\Rightarrow x=\frac{2}{3}:\frac{1}{5}=\frac{10}{3}\)

Vậy....