Question

[linh angela nguyễn]

Giai phương trình

\(\dfrac{x+5}{x\left(2x-5\right)+2}+\dfrac{x+2}{x\left(2x-7\right)+3}=\dfrac{2x+7}{2x^2-7x+3}\)

Answer 1

[Nguyễn Lê Phước Thịnh]

\(\Leftrightarrow\dfrac{x+5}{2x^2-5x+2}=\dfrac{2x+7-x-2}{2x^2-7x+3}\)

\(\Leftrightarrow\left(x+5\right)\left(\dfrac{1}{\left(2x-1\right)\left(x-2\right)}-\dfrac{1}{\left(x-3\right)\left(2x-1\right)}\right)=0\)

\(\Leftrightarrow\left(x+5\right)\left(x-3-x+2\right)=0\)

=>x+5=0

hay x=-5