\(\Leftrightarrow\left(2x-1\right)^2-25=12\sqrt{x^2-x-2}-24\)
\(\Leftrightarrow\left(2x-1-5\right)\left(2x-1+5\right)=3\sqrt{2\left(x-2\right)\left(x+1\right)}-24\)ĐK:\(x\ge2\)
\(\Leftrightarrow4\left(x-3\right)\left(x+2\right)-3\sqrt{2\left(x-2\right)\left(x+1\right)}+24=0\)
\(\Leftrightarrow\left(x-3\right)\left(x+2\right)-3\sqrt{\left(x-2\right)\left(x+1\right)}+6=0\)
Giải PT: \(\sqrt{2x+3+\sqrt{x+2}}+\sqrt{2x+2-\sqrt{x+2}}=1+2\sqrt{x+2}\)
Giải PT: \(\sqrt{2x+3+\sqrt{x+2}}+\sqrt{2x+2-\sqrt{x+2}}=1+2\sqrt{x+2}\)
Giải PT: \(\sqrt{2x+3\sqrt{x+2}}+\sqrt{2x+2-\sqrt{x+2}}=1+2\sqrt{x+2}\)
B1: giải pt: \(\sqrt{x+3}+\sqrt{2x+4}=12-\sqrt{3x+7}\)
B2: giải pt: \(x^3-3x^2-8x+32=4\sqrt{x+1}\)
Giải pt:
\(\sqrt{-x^4+3x-1}+\sqrt{2x^2-3x+2}=x^4-x^2-2x+4\)
Giải pt:
\(\sqrt{x+1}-\sqrt{2x+1}+x=2\)
Giải PT: \(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}=2x+2\)
Giải PT: \(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}=2x+2\)
1.Giải pt : \(\sqrt{x+\sqrt{2x-1}}+\sqrt{x-\sqrt{2x-1}}=\sqrt{2}\)
