ĐKXĐ: \(x\ge\frac{5}{2}\)
\(\Leftrightarrow\sqrt{11x+3}=\sqrt{x+1}+4\sqrt{2x-5}\)
\(\Leftrightarrow11x+3=x+1+32x-80+8\sqrt{2x^2-3x-5}\)
\(\Leftrightarrow41-11x=4\sqrt{2x^2-3x-5}\) \(\left(x\le\frac{41}{11}\right)\)
\(\Leftrightarrow\left(41-11x\right)^2=16\left(2x^2-3x-5\right)\)
\(\Leftrightarrow89x^2-854x+1761=0\)
\(\Rightarrow\left[{}\begin{matrix}x=3\\x=\frac{587}{89}\left(l\right)\end{matrix}\right.\)
Chà, làm biếng liên hợp ra cái pt khủng quá :D
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