Giải pt: \(\sqrt{x-1}+2x+2=x-1+\sqrt{1-x}+3\sqrt{1-x^2}\)
Giải các hệ pt và các pt sau:
1. (x+1)(y-1)=xy+4 (1)
(2x-4)(y+1)=2xy+5(2)
2. \(x^2+x-2\sqrt{x^2+x+1}+2=0\)
Giải hệ PT:
\(\left\{{}\begin{matrix}\dfrac{2x}{x+1}+\dfrac{y}{y+1}=\sqrt{2}\\\dfrac{x}{x+1}+\dfrac{3y}{y+1}=-1\end{matrix}\right.\)
\(\sqrt{2-x}+\sqrt{2+x}+\sqrt{4-x^2}=2\)
\(\sqrt{5x +7}-\sqrt{x+3}=\sqrt{3x+1}\)
\(\left\{{}\begin{matrix}3x=y^2+y+1\\3y=x^2+x+1\end{matrix}\right.\)
Giải PT và hệ PT
Giải phương trình:
1. \(5x^2+2x+10=7\sqrt{x^4+4}\)
2. \(\dfrac{4}{x}+\sqrt{x-\dfrac{1}{x}}=x+\sqrt{2x-\dfrac{5}{x}}\)
3. \(\sqrt{x^2+2x}=\sqrt{3x^2+4x+1}-\sqrt{3x^2+4x+1}\)
Giải các hệ PT sau:
a) \(\left\{{}\begin{matrix}2x^2-3xy=y^2-3x-1\\2y^2-3xy=x^2-3y-1\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x^3-2y=4\\y^3-2x=4\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}\sqrt{x+1}-\sqrt{7-y}=4\\\sqrt{y+1}-\sqrt{7-x}=4\end{matrix}\right.\)
d) \(\left\{{}\begin{matrix}2x^2=y+\frac{1}{y}\\2y^2=x+\frac{1}{x}\end{matrix}\right.\)
giải hệ pt: \(\left\{{}\begin{matrix}5\sqrt{x-1}-\sqrt{y+2}=19\\2\sqrt{x-1}+\sqrt{y+2}=9\end{matrix}\right.\)
Giải hệ pt:
a)\(\left\{{}\begin{matrix}x^2+y^2+x+y=18\\x\left(x+1\right).y\left(y+1\right)=72\end{matrix}\right.\) b) \(\left\{{}\begin{matrix}\frac{1}{x}+\frac{1}{y+1}=1\\3y-1=xy\end{matrix}\right.\) c)\(\left\{{}\begin{matrix}2x+3y=xy+5\\\frac{1}{x}+\frac{1}{y+1}=1\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}\sqrt{\frac{x}{y}}-3\sqrt{\frac{y}{x}}=2\\x-y+xy=1\end{matrix}\right.\) e)\(\left\{{}\begin{matrix}xy+x+y=x^2-2y^2\\x\sqrt{2y}-y\sqrt{x-1}=2x-2y\end{matrix}\right.\)
HELP ME :((
giải hệ phương trình sau
\(\dfrac{\sqrt{2x-1}}{\sqrt{y+2}}+\dfrac{\sqrt{y+2}}{\sqrt{2x-1}}=2\)
\(x+y=12\)