Violympic toán 9
Các câu hỏi tương tự
giải hpt:
1, \(\left\{{}\begin{matrix}x^3+x^2y+y^3=3\\x^2-xy^2+3y^3=3\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}xy\left(2x+4y\right)=1\\x^3+8y^3+6=32x^2y^2\end{matrix}\right.\)
giải HPT
a) \(\left\{{}\begin{matrix}\left(x+3\right)\left(y-5\right)=xy\\\left(2x-y\right)\left(y+15\right)=2xy\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}\sqrt{4x}-3y+4z^2=-2\\\sqrt{3x}+2y-3z^2=1\\-3\sqrt{x}+y+2z^2=4\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x^3y\left(1+y\right)+x^2y^2\left(2+y\right)+xy^3=30\\x^2y+x\left(1+y+y^2\right)+y=11\end{matrix}\right.\)
Giải hpt: 1, \(\left\{{}\begin{matrix}x^3-y^3=3y^2+9\\x^2+y^2=x-4y\end{matrix}\right.\)
2,\(\left\{{}\begin{matrix}x^2+2xy+2y^2+3x=0\\xy+y^2+3y+1=0\end{matrix}\right.\)
giải hpt:
1, \(\left\{{}\begin{matrix}x^2+y^2+xy=3\\x^2+2xy=7x+5y-9\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}8x^3y^3+27=18y^3\\4x^2y+6x=y^2\end{matrix}\right.\)
Giải HPT:
\(\left\{{}\begin{matrix}xy^2+2x-4y=-1\\x^2y^3+2xy^2-4x+3y=2\end{matrix}\right.\)
BL
1 tháng 1 2020 lúc 21:24
giải hpt: a) \(\left\{{}\begin{matrix}x^2+y^2+1=2\left(xy-x+y\right)\\x^3+3y^2+5x-12=\left(12-y\right)\sqrt{3-x}\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x+\sqrt{x^2+2x+2}=\sqrt{y^2+1}-y-1\\x^3-\left(3x^2+2y^2-6\right)\sqrt{2x^2-y^2-2}=0\end{matrix}\right.\)
giải hpt:
1,\(\left\{{}\begin{matrix}x^2y^2-2x+y^2=0\\2x^2-4x+3+y^3=0\end{matrix}\right.\)
2. \(\left\{{}\begin{matrix}\left(x^2-xy\right)\left(xy-y^2\right)=25\\\sqrt{x^2-xy}+\sqrt{xy-y^2}=3\left(x-y\right)\end{matrix}\right.\)
Giải PT và HPT:
1)left{{}begin{matrix}xy+x+y3frac{1}{x^2+2x}+frac{1}{y^2+2y}frac{2}{3}end{matrix}right.
2)left(sqrt{x+4}-2right)left(sqrt{4-x}+2right)2x
3)left{{}begin{matrix}xyleft(x+yright)29xyleft(3x-yright)+626x^3-2y^3end{matrix}right.
4)left{{}begin{matrix}x^2-2xy+x-2y+30y^2-x^2+2xy+2x-20end{matrix}right.
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Giải PT và HPT:
1)\(\left\{{}\begin{matrix}xy+x+y=3\\\frac{1}{x^2+2x}+\frac{1}{y^2+2y}=\frac{2}{3}\end{matrix}\right.\)
2)\(\left(\sqrt{x+4}-2\right)\left(\sqrt{4-x}+2\right)=2x\)
3)\(\left\{{}\begin{matrix}xy\left(x+y\right)=2\\9xy\left(3x-y\right)+6=26x^3-2y^3\end{matrix}\right.\)
4)\(\left\{{}\begin{matrix}x^2-2xy+x-2y+3=0\\y^2-x^2+2xy+2x-2=0\end{matrix}\right.\)
Giải hệ phương trình:
1. left{{}begin{matrix}x+32sqrt{left(3y-xright)left(y+1right)}sqrt{3y-2}-sqrt{dfrac{x+5}{2}}xy-2y-2end{matrix}right.
2. left{{}begin{matrix}sqrt{2y^2-7y+10-xleft(y+3right)}+sqrt{y+1}x+1sqrt{y+1}+dfrac{3}{x+1}x+2yend{matrix}right.
3. left{{}begin{matrix}sqrt{4x-y}-sqrt{3y-4x}12sqrt{3y-4x}+yleft(5x-yright)xleft(4x+yright)-1end{matrix}right.
4. left{{}begin{matrix}9sqrt{dfrac{41}{2}left(x^2+dfrac{1}{2x+y}right)}3+40xx^2+5xy+6y4y^2+9x+9end{matrix}right.
5. left{{}begin{mat...
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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. \(\left\{{}\begin{matrix}x^3-12z^2+48z-64=0\\y^3-12x^2+48x-64=0\\z^3-12y^2+48y-64=0\end{matrix}\right.\)