1) \(\left|x^2-4x-5\right|=x-1\)
2) \(\sqrt{2x^2+2x+9}=x-3\)
3) \(\sqrt{x+1}+1=4x^2+\sqrt{3x}\)
4) \(\sqrt{x-2}+\sqrt{4-x}=2x^2-5x-3\)
1) \(\left\{{}\begin{matrix}xy+x+y=x^2-2y^2\\x\sqrt{2y}-y\sqrt{x-1}=2x-2y\end{matrix}\right.\)
2) \(\left\{{}\begin{matrix}2x^2+y^2-3xy+3x-2y+1=0\\4x^2-y^2+x+4=\sqrt{2x+y}+\sqrt{x+4y}\end{matrix}\right.\)
Giải hệ phương trình :
\(\begin{cases}2+9.3^{x^2-2y}=\left(2+9^{x^2-2y}\right).5^{2y-x^2+2}\\4^x+4=4x+4\sqrt{2y-2x+4}\end{cases}\)
\(\left\{{}\begin{matrix}\frac{1}{2x}+\frac{x}{y}=\frac{3x+3\sqrt{y}}{4x^2+2y}\\4x+y=\sqrt{2x+6}-2\sqrt{y}\end{matrix}\right.\)
Giải hpt:
\(\begin{cases}2^{\sqrt{x^2-y}}+2^{\frac{-1}{\sqrt{x^2-y}}}=\frac{5}{2}\\4x\sqrt{y}-\sqrt{x\left(y+9\right)}=4y-x-2\end{cases}\)
Giải hệ phương trình sau:\(\left\{{}\begin{matrix}\left(x-y+3\right)\sqrt{x+2}=\sqrt{y}\\x^2+\left(x+3\right)\left(2x-y+5\right)=x+16\end{matrix}\right.\)
Giải các hệ
\(\left\{{}\begin{matrix}\sqrt{x+y}+\sqrt{2x+y+2}=7\\3x+2y=23\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x^2+y+x^3y+xy^2+xy=\frac{-5}{4}\\x^4+y^2+xy\left(1+2x\right)=\frac{-5}{4}\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\left(x^2+1\right)+y\left(x+y\right)=7y\\\left(x^2+1\right)\left(x+y-2\right)=-y\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x\left(x+y+1\right)=3\\\left(x+y\right)^2-\frac{5}{x^2}=-1\end{matrix}\right.\)
\(\begin{cases}2\sqrt{5-x-y}+2x=3\sqrt{\left(x+1\right)\left(2-y+y\right)}\\\left(x-y\right)^2+x+y=2\end{cases}\left(x,y\in R\right)\)
giai pt
a) \(\sqrt{1+\sqrt{1-x^2}.}[\sqrt{\left(1-x\right)^3}-\sqrt{\left(1+x\right)^3}]=2+\sqrt{1-x^2}\)
b) \(\sqrt{1-x}-2x\sqrt{1-x^2}-2x^2+1=0\)
c) \(64x^6-112x^4+56x^2-7=2\sqrt{1-x^2}\)
