Question

Giải phương trình :

\(\sqrt{2x+5}-\sqrt{3-x}=x^2-5x+8\)

Answer 1

\(\sqrt{2x+5}+3-1-\sqrt{3-x}=\left(x-2\right)\left(x-3\right)\)

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

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

Giải nốt vs ạ