\(4x^2+y^2=\left(2x+3y\right)y\)
\(\Rightarrow4x^2-2xy-2y^2=0\)
\(\Rightarrow\left(x-y\right)\left(2x+y\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=y\\y=-2x\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x+3x=5x^2\\2x-6x=-10x^2\end{matrix}\right.\) \(\Rightarrow...\)
Giải hệ phương trình \(\left\{{}\begin{matrix}2x^2-xy=1\\x^3-5xy^2-x^2+5y^2+4x=4\end{matrix}\right.\)
Giải hệ phương trình:
1. \(\left\{{}\begin{matrix}x+3=2\sqrt{\left(3y-x\right)\left(y+1\right)}\\\sqrt{3y-2}-\sqrt{\dfrac{x+5}{2}}=xy-2y-2\end{matrix}\right.\)
2. \(\left\{{}\begin{matrix}\sqrt{2y^2-7y+10-x\left(y+3\right)}+\sqrt{y+1}=x+1\\\sqrt{y+1}+\dfrac{3}{x+1}=x+2y\end{matrix}\right.\)
3. \(\left\{{}\begin{matrix}\sqrt{4x-y}-\sqrt{3y-4x}=1\\2\sqrt{3y-4x}+y\left(5x-y\right)=x\left(4x+y\right)-1\end{matrix}\right.\)
4. \(\left\{{}\begin{matrix}9\sqrt{\dfrac{41}{2}\left(x^2+\dfrac{1}{2x+y}\right)}=3+40x\\x^2+5xy+6y=4y^2+9x+9\end{matrix}\right.\)
5. \(\left\{{}\begin{matrix}\sqrt{xy+\left(x-y\right)\left(\sqrt{xy}-2\right)}+\sqrt{x}=y+\sqrt{y}\\\left(x+1\right)\left[y+\sqrt{xy}+x\left(1-x\right)\right]=4\end{matrix}\right.\)
6. \(\left\{{}\begin{matrix}x^4-x^3+3x^2-4y-1=0\\\sqrt{\dfrac{x^2+4y^2}{2}}+\sqrt{\dfrac{x^2+2xy+4y^2}{3}}=x+2y\end{matrix}\right.\)
7. \(\left\{{}\begin{matrix}x^3-12z^2+48z-64=0\\y^3-12x^2+48x-64=0\\z^3-12y^2+48y-64=0\end{matrix}\right.\)
Giải hệ PT:
a)\(\left\{{}\begin{matrix}x^2-xy+y^2=21\\y^2-2xy+5=0\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}3x^2+5xy-4y^2=35\\5x^2-9xy-3y^2=15\end{matrix}\right.\)
Giải phương trình bằng phương pháp thế :
1) \(\left\{{}\begin{matrix}4x+y=2\\8x+3y=5\end{matrix}\right.\)
2) \(\left\{{}\begin{matrix}x-y=m\\2x+y=4\end{matrix}\right.\)
3)\(\left\{{}\begin{matrix}3x+2y=6\\x-y=2\end{matrix}\right.\)
4) \(\left\{{}\begin{matrix}2x-3y=1\\-4x+6y=2\end{matrix}\right.\)
5)\(\left\{{}\begin{matrix}2x+3y=5\\5x-4y=1\end{matrix}\right.\)
6)\(\left\{{}\begin{matrix}3x-y=7\\x+2y=0\end{matrix}\right.\)
7)\(\left\{{}\begin{matrix}x+4y=2\\3x+2y=4\end{matrix}\right.\)
8)\(\left\{{}\begin{matrix}-x-y=2\\-2x-3y=9\end{matrix}\right.\)
9)\(\left\{{}\begin{matrix}2x-3y=2\\-4x+6y=2\end{matrix}\right.\)
giúp mình với :((
Giải hệ phương trình: \(\left\{{}\begin{matrix}\frac{x^2}{y^2+2y+1}+\frac{y^2}{x^2+2x+1}=\frac{8}{9}\\5xy-4x-4y=4\end{matrix}\right.\)
Giải hệ phương trình
\(\left\{{}\begin{matrix}6x\left(y^2+z^2\right)=13yz\\3y\left(z^2+x^2\right)=5zx\\6z\left(x^2+y^2\right)=5xy\end{matrix}\right.\)
giải hệ pt sau
a\(\left\{{}\begin{matrix}4x+y=2\\8x+3y=5\end{matrix}\right.\) b\(\left\{{}\begin{matrix}3x_{ }-2y=11\\4x-5y=3\end{matrix}\right.\) c\(\left\{{}\begin{matrix}4x+3y=13\\5x-3y=_{ }-31\end{matrix}\right.\) D\(\left\{{}\begin{matrix}7X+5Y=19\\3x+5y=31\end{matrix}\right.\)
e\(\left\{{}\begin{matrix}7x-5y=3\\3x+10y=62\end{matrix}\right.\) f\(\left\{{}\begin{matrix}2x+5y=11\\3x+2y=11\end{matrix}\right.\) g\(\left\{{}\begin{matrix}x+3y=4y-x+5\\2x-y=3x-2\left(y+1\right)\end{matrix}\right.\)
Giải hệ: \(\left\{{}\begin{matrix}3x^2+5xy-4y^2=38\\5x^2-9xy-3y^2=15\end{matrix}\right.\)
\(\left\{{}\begin{matrix}2x^2+5xy+2y^2+x+y+1=0\\x^2+4xy+y^2+12y+12x+10=0\end{matrix}\right.\)
