đk: \frac{3}{2}\leq x\leq \frac{5}{2}
Đặt: \left\{\begin{matrix} \sqrt{2x-3}=a \\ \sqrt{5-2x}=b \end{matrix}\right. (a,b\geq0)
Pt <=> \left\{\begin{matrix} (7-2a^{2})a+(7-2b^{2})b=2+8ab\\ a^{2}+b^{2}=2 \end{matrix}\right.<=> \left\{\begin{matrix} (a+b)(3+2ab)=2+8ab\\ a^2 +b^2 =2...