ĐKXĐ: ...
Đặt \(\left\{{}\begin{matrix}\sqrt{3x+y}=a\ge0\\\sqrt{5x+4y}=b\ge0\end{matrix}\right.\) \(\Rightarrow2a^2-b^2=x-2y\)
Hệ trở thành: \(\left\{{}\begin{matrix}a+b=5\\12b+2a^2-b^2=35\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}a=5-b\\12b+2a^2-b^2=35\end{matrix}\right.\)
\(\Rightarrow12b+2\left(5-b\right)^2-b^2=25\)
\(\Rightarrow...\)
Giải hệ phương trình:
\(\left\{{}\begin{matrix}y^3-4y^2+4y=\sqrt{x+1}\left(y^2-5y+4+\sqrt{x+1}\right)\\2\sqrt{x^2-3x+3}+6x-7=y^2\left(x-1\right)^2+\left(y^2-1\right)\sqrt{3x-2}\end{matrix}\right.\)
giải hệ phương trình:
\(\left\{{}\begin{matrix}4x^2+y-x-9=\sqrt{3x+1}+\sqrt{x^2+5x+y-8}\\x\sqrt{12-y}+\sqrt{12y-x^2y}=12\end{matrix}\right.\)
giải giúp mik bt này vs mn!
1)\(\left\{{}\begin{matrix}2x^2+y^2+x=3\left(xy+1\right)+2y\\\dfrac{2}{3+\sqrt{2x-y}}+\dfrac{2}{3+\sqrt{4-5x}}=\dfrac{9}{2x-y+9}\end{matrix}\right.\)
2)\(\left\{{}\begin{matrix}\left(x+3y+1\right)\sqrt{2xy+2y}=y\left(3x+4y+3\right)\\\left(\sqrt{x+3}-\sqrt{2y-2}\right)\left(x-3+\sqrt{x^2+x+2y-4}\right)=4\end{matrix}\right.\)
3)\(\left\{{}\begin{matrix}x-\dfrac{1}{x}=y-\dfrac{1}{y}\\2y=x^3+1\end{matrix}\right.\)
4)\(\left\{{}\begin{matrix}\sqrt{2x-3}=\left(y^2+2011\right)\left(5-y\right)+\sqrt{y}\\y\left(y-x+2\right)=3x+3\end{matrix}\right.\)
5)\(\left\{{}\begin{matrix}x^3+2x^2=x^2y+2xy\\2\sqrt{x^2-2y-1}+\sqrt[3]{y^3-14=x-2}\end{matrix}\right.\)
giải hệ phương trình
\(\left\{{}\begin{matrix}\left(x+3y+1\right)\sqrt{2xy+2y}=y\left(3x+4y+3\right)\\\left(\sqrt{x-3}-\sqrt{2y-2}\right)\left(x-3+\sqrt{x^2+x+2y-4}\right)=4\end{matrix}\right.\)
giải hệ phương trình
\(\left\{{}\begin{matrix}\left(y+1\right)^2+y\sqrt{y^2+1}=x+\dfrac{3}{2}\\x+\sqrt{x^2-2x+5}=1+2\sqrt{2x-4y+2}\end{matrix}\right.\)
giải hệ phương trình : \(\left\{{}\begin{matrix}x-4y+3\sqrt{y}=\sqrt{2x+y}\\\sqrt{8y-1}+x^2-12y+1=0\end{matrix}\right.\)
giải hệ phương trình : \(\left\{{}\begin{matrix}x-4y+3\sqrt{y}=\sqrt{2x+y}\\\sqrt{8y-1}+x^2-12y+1=0\end{matrix}\right.\)
giải hệ sau \(\left\{{}\begin{matrix}3x^2-2x-5+2x\sqrt{x^2+1}=2\left(y+1\right)\sqrt{y^2+2y+2}\\x^2+2y^2-2x+4y-3=0\end{matrix}\right.\)
Giải hệ phương trình
\(\left\{{}\begin{matrix}2y^3+7y+2x\sqrt{1-x}=3\sqrt{1-x}+3\left(2y^2+1\right)\\\sqrt{2y^2-4y+3}=5-y+\sqrt{x+4}\end{matrix}\right.\)
Giải hệ pt
\(\left\{{}\begin{matrix}3\sqrt{2x+y}+\sqrt{x-2y+1}=5\\2\sqrt{x-2y+1}-5x=10y+9\end{matrix}\right.\)
