\(\sqrt{2x-1}+\sqrt{x}=2\)
\(\Leftrightarrow2x-1+x+2\sqrt{x\left(2x-1\right)}=4\)
\(\Leftrightarrow2\sqrt{2x^2-x}=5-3x\)
\(\Leftrightarrow2x^2-x=\dfrac{25-30x+9x^2}{4}\)
\(\Leftrightarrow8x^2-8x-25+30x-9x^2=0\)
\(\Leftrightarrow x^2-22x+25=0\)
\(\Leftrightarrow x=11\pm4\sqrt{6}\)
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: \(\sqrt{2x+3\sqrt{x+2}}+\sqrt{2x+2-\sqrt{x+2}}=1+2\sqrt{x+2}\)
1.Giải pt : \(\sqrt{x+\sqrt{2x-1}}+\sqrt{x-\sqrt{2x-1}}=\sqrt{2}\)
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: \(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}=2x+2\)
Giải pt:
\(\sqrt{2x^2+16x+18}+\sqrt{x^2-1}=2x+4\)
Giải pt:
\(\sqrt{x+1}-\sqrt{2x+3}+x=2\)
Giải pt:
\(\sqrt{-x^4+3x-1}+\sqrt{2x^2-3x+2}=x^4-x^2-2x+4\)
