\(\left\{{}\begin{matrix}x+y-3=0\\xy-2x+2=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}y=3-x\\x\left(3-x\right)-2x+2=0\left(1\right)\end{matrix}\right.\)
\(\left(1\right)\Leftrightarrow-x^2+x+2=0\)
\(\Leftrightarrow\left(2-x\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
Nếu \(x=2\Rightarrow y=1\)
Nếu \(x=-1\Rightarrow y=4\)
\(\Rightarrow x_1+x_2=1\)
Giúp mình với, thanks các bạn nhiều: ^^ BT/ Giải hệ pt:
1/\(\left\{{}\begin{matrix}x^3+y^3=1\\x^2y+2xy^2+y^3=2\end{matrix}\right.\) 2/\(\left\{{}\begin{matrix}y^2=\left(x+8\right).\left(x^2+2\right)\\y^2-4\left(x+2\right)y+16+16x-5x^2=0\end{matrix}\right.\)
3/\(\left\{{}\begin{matrix}x^2-3x\left(y-1\right)+y^2+y\left(x-3\right)=4\\x-xy-2y=1\end{matrix}\right.\) 3/\(\left\{{}\begin{matrix}\sqrt{x}-\sqrt{x-y-1}=1\\y^2+x+2y\sqrt{x}-xy^2=0\end{matrix}\right.\)
Giải hệ phương trình:
a) \(\left\{\begin{matrix}2x^2-15xy+4y^2-12x+45y-24=0y^2\\x^2+xy-2y^2-3x-3y=0\end{matrix}\right.\)
b) \(\left\{\begin{matrix}3\left|x-3\right|+5y+9=0\\2x-\left|y+4\right|-7=0\end{matrix}\right.\)
giải hpt:
a) \(\left\{{}\begin{matrix}4x+9y=6\\3x^2+6xy-x+3y=0\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}\left(x+y+2\right)\left(2x+2y-1\right)=0\\3x^2-32y^2+5=0\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}2x^2-xy+3y^2=7x+12y-1\\x-y+1=0\end{matrix}\right.\)
Giải hệ pt
a) \(\left\{{}\begin{matrix}x^2+2xy^2=3\\y^3+y+x\left(2xy-1\right)=3\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x^2+x^3y-xy^2+xy-y=1\\x^4+y^2-xy\left(2x-1\right)=1\end{matrix}\right.\)
1,\(\left\{{}\begin{matrix}x-y^2+1=0\\\sqrt{y^2+3}+x=2\end{matrix}\right.\)
2,\(\left\{{}\begin{matrix}x^4+2x^3y+x^2y^2=2x+9\\x^2+2xy=6x+6\end{matrix}\right.\)
3,\(\left\{{}\begin{matrix}xy+x-2=0\\2x^3-x^2y+x^2+y^2-2xy-y=0\end{matrix}\right.\)
Câu 1: Giai pt:
\(\sqrt{x+1}+\sqrt[3]{x^2+1}=2\)
Câu 2 : Gỉa hệ pt :
\(\left\{{}\begin{matrix}xy\left(x+y\right)-x\left(y-1\right)-\frac{3}{8}\left(y^2+1\right)=0\\xy^2+x-y=0\end{matrix}\right.\)
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, \(\left\{{}\begin{matrix}\left(y-3\right)\sqrt{xy}+2y\sqrt{x}-4\sqrt{y}-2y+6=0\\y^4-xy^3+xy=4\end{matrix}\right.\)
giúp mik giải bài hệ pt vs ạ!
1,\(\left\{{}\begin{matrix}x^2+y^2+\dfrac{2xy}{x+y}=1\\\sqrt{x+y}=x^2-y\end{matrix}\right.\)
2,\(\left\{{}\begin{matrix}2x^3+xy^2+x=y^3+4x^2y+2y\\\sqrt{4x^2+x+6}-5\sqrt{1+2y}=1-4y\end{matrix}\right.\)
3,\(\left\{{}\begin{matrix}2x^2+\sqrt{2}x=\left(x+y\right)y+\sqrt{x+y}\\\sqrt{x-1}+xy=\sqrt{y^2+21}\end{matrix}\right.\)
4,\(\left\{{}\begin{matrix}\sqrt{9y^2+\left(2y+3\right)\left(y-x\right)}+4\sqrt{xy}=7x\\\left(2y-1\right)\sqrt{1+x}+\left(2y+1\right)\sqrt{1-x}=2y\end{matrix}\right.\)
Đưa hệ phương trình về 2 ẩn S và P . Giải hệ tìm được S,P kiểm tra điều kiện s2 - 4p \(\ge\) 0 khi đó x và y sẽ là nghiệm của phương trình bậc hai
1 , \(\left\{{}\begin{matrix}x^2y+y^2x=6\\x+y+xy=5\end{matrix}\right.\)
2 , \(\left\{{}\begin{matrix}x+y+xy=5\\x^2+y^2=5\end{matrix}\right.\)
3 , \(\left\{{}\begin{matrix}x^3+y^3=2\\xy\left(x+y\right)^2\end{matrix}\right.\)
4 , \(\left\{{}\begin{matrix}x^2+y^2=2\left(xy+2\right)\\x+y=6\end{matrix}\right.\)
