\(2x^2+2x+1=\sqrt{4x+1}\) ( ĐK : \(x\ge-\dfrac{1}{4}\) )
\(\Leftrightarrow4x^2+4x+2-2\sqrt{4x+1}=0\)
\(\Leftrightarrow4x^2+\left(4x+1-2\sqrt{4x+1}+1\right)=0\)
\(\Leftrightarrow4x^2+\left(\sqrt{4x+1}-1\right)^2=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}4x^2=0\\\left(\sqrt{4x+1}-1\right)^2=0\end{matrix}\right.\Leftrightarrow x=0\)
Giải Pt:
\(\left(4x-1\right)\sqrt{x^2+1}=2x^2-2x+2\)
Em cảm ơn ạ.
Giải pt \(x^2+\sqrt{2x+5}+\sqrt{4-2x}=4x-1\)
Giải pt:
\(\sqrt{x^2-2x+1}=\sqrt{4x^2-4x+1}\)
giải pt
(4x-1)\(\sqrt{x^2+1}=2x^2+2x+1\)
Giải pt
\(\sqrt{2x^2+6x-8}+\sqrt{2x^2+4x-6}-3\sqrt{x+4}=3\sqrt{x+3}+1\)
Giải pt:
\(\dfrac{6x^2+4x+8}{x+1}=5\sqrt{2x^2+3}\)
Giải PT: \(4x^2-11x+10=\left(x-1\right).\sqrt{2x^2-6x+2}\)
Giải pt
\(2x+3+\sqrt{4x^2+9x+2}=2\sqrt{x+2}+\sqrt{4x+1}\)
Giải hệ pt:
\(\left\{{}\begin{matrix}4x^2+y^2+2x+y=2\left(1-2xy\right)\\8\sqrt{1-2x}+y^2-9=0\end{matrix}\right.\)
