$\sqrt{11x+3}$`-`$\sqrt{x+1}$`=4`$\sqrt{2x-5}$
`⇔(`$\sqrt{11x+3}$`-`$\sqrt{x+1}$`)^2=16`$\sqrt{2x-5}$²
`⇔11x+3-2`$\sqrt{11x²+11x+3x+3}$`+x+1=16(2x-5)`
`⇔11x+3+x+1-32x+80=2√(x+1)(11x+3)`
`⇔-20x+84=2√(x+1)(11x+3)`
`⇔-10x+42=√(x+1)(11x+3)`
`⇔100x²-840x+1764=11x²+11x+3x+3` Đk:x≤4,2
`⇔89x²-854x+1761=0`
`⇔89x²-267x-587x+1761=0`
`⇔89x(x-3)-587(x-3)=0`
`⇔(x-3)(89x-587)=0`
`⇔x=3` hoặc `x=587/89`(loại