\(\left\{{}\begin{matrix}x=2y^3-6y-2\\y=-x^3+3x+4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-2=2\left(y-2\right)\left(y+1\right)^2\\y-2=\left(x-2\right)\left(x+1\right)^2\end{matrix}\right.\)
nhân lại rồi thu gọn ta được \(2\left(x+1\right)^2\left(y+1\right)^2=0\)(dễ rồi, bài này khá là phổ biến)
giải hệ phương trình:
1, \(\left\{{}\begin{matrix}x-2y-\sqrt{xy}=0\\\sqrt{x-1}-\sqrt{2y-1}=1\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}\sqrt{11x-y}-\sqrt{y-x}=1\\7\sqrt{y-x}+6y-26x=3\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}\left(y-3\right)\sqrt{xy}+2y\sqrt{x}-4\sqrt{y}-2y+6=0\\y^4-xy^3+xy=4\end{matrix}\right.\)
giải hệ phương trình:
1, \(\left\{{}\begin{matrix}\left(x+y-3\right)^3=4y^3\left(x^2y^2+xy+\frac{45}{4}\right)\\x+4y-3=2xy^2\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}x^3+7y=\left(x+y\right)^2+x^2y+7x+4\\3x^2+y^2+8y+4=8x\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}2x+5y=xy+2\\x^2+4y+21=y^2+10x\end{matrix}\right.\)
giải hệ pt:
\(\left\{{}\begin{matrix}\left(1-y\right)\sqrt{x-y}+x=2+\left(x-y-1\right)\sqrt{y}\\2y^2-3x+6y+1=2\sqrt{x-2y}-\sqrt{4x-5y-3}\end{matrix}\right.\)
Giải hệ phương trình: \(\left\{{}\begin{matrix}\dfrac{3}{x^2}=2x+y\\\dfrac{3}{y^2}=2y+x\end{matrix}\right.\)
Giải hệ phương trình: \(\left\{{}\begin{matrix}\sqrt{2x+y}+2\sqrt{x-2y+1}=5\\3\sqrt{x-2y+1}+y=3x+2\end{matrix}\right.\)
Trình bày rõ ràng, dễ hỉu giúp mk với ạaaa
giải hệ phương trình:
1, \(\left\{{}\begin{matrix}x^3+2y^2=x^2y+2xy\\2\sqrt{x^2-2y-1}+\sqrt[3]{y^3-14}=x-2\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}2\sqrt{x+y^2+y+3}-3\sqrt{y}=\sqrt{x+2}\\y^3+y^2-3y-5=3x-3\sqrt[3]{x}+2\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}\left(x-2\right)\left(2y-1\right)=x^3+20y-28\\2\left(\sqrt{x+2y}+y\right)=x^2+x\end{matrix}\right.\)
Giải hệ
\(\left\{{}\begin{matrix}x^3+7y=\left(x+y\right)^2+x^2y+7x+4\\3x^2+y^2+8y+4=8x\end{matrix}\right.\)
giải hệ phương trình
1, \(\left\{{}\begin{matrix}2x^2+3y=17\\3x^2-2y=6\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}\left|x-1\right|+\left|y-1\right|=2\\4\left|x-1\right|+3\left|y-1\right|=7\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}3\sqrt{x-1}+2\sqrt{y}=2\\2\sqrt{x-1}-\sqrt{y}=4\end{matrix}\right.\)
4 , \(\left\{{}\begin{matrix}x+y=2\\\left|2x-3y\right|=1\end{matrix}\right.\)
5 , \(\left\{{}\begin{matrix}2x-y=1\\\left|x-y\right|=\left|2y-1\right|\end{matrix}\right.\)
6,\(\left\{{}\begin{matrix}\left(x-3\right)\left(y+6\right)=xy\\\left(x+2\right)\left(y-2\right)=xy\end{matrix}\right.\)
7 , \(\left\{{}\begin{matrix}\left(x-3\right)\left(2y+5\right)=\left(2x+7\right)\left(y-1\right)\\\left(4x+1\right)\left(3y-6\right)=\left(6x-1\right)\left(2y+3\right)\end{matrix}\right.\)
8 , \(\left\{{}\begin{matrix}4x^2-5\left(y+1\right)=\left(2x-3\right)^2\\3\left(7x+2\right)=5\left(2y-1\right)-3x\end{matrix}\right.\)
