Chương III - Hệ hai phương trình bậc nhất hai ẩn
Các câu hỏi tương tự
Giải hệ pt:
a)left{{}begin{matrix}x^2+y^2+x+y18xleft(x+1right).yleft(y+1right)72end{matrix}right. b) left{{}begin{matrix}frac{1}{x}+frac{1}{y+1}13y-1xyend{matrix}right. c)left{{}begin{matrix}2x+3yxy+5frac{1}{x}+frac{1}{y+1}1end{matrix}right.
d)left{{}begin{matrix}sqrt{frac{x}{y}}-3sqrt{frac{y}{x}}2x-y+xy1end{matrix}right. e)left{{}begin{matrix}xy+x+yx^2-2y^2xsqrt{2y}-ysqrt{x-1}2x-2yend{matrix}right.
HELP ME :((
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Giải hệ pt:
a)\(\left\{{}\begin{matrix}x^2+y^2+x+y=18\\x\left(x+1\right).y\left(y+1\right)=72\end{matrix}\right.\) b) \(\left\{{}\begin{matrix}\frac{1}{x}+\frac{1}{y+1}=1\\3y-1=xy\end{matrix}\right.\) c)\(\left\{{}\begin{matrix}2x+3y=xy+5\\\frac{1}{x}+\frac{1}{y+1}=1\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}\sqrt{\frac{x}{y}}-3\sqrt{\frac{y}{x}}=2\\x-y+xy=1\end{matrix}\right.\) e)\(\left\{{}\begin{matrix}xy+x+y=x^2-2y^2\\x\sqrt{2y}-y\sqrt{x-1}=2x-2y\end{matrix}\right.\)
HELP ME :((
Giải hệ phương trình:
a)\(\left\{{}\begin{matrix}x^2+xy+y^2=4\\x+xy+y=2\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}x^3=2y+1\\y^3=2x+1\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}x+y-\sqrt{xy}=3\\\sqrt{x+1}+\sqrt{y+1}=4\end{matrix}\right.\)
Giải hệ phương trình:
1, left{{}begin{matrix}x^2+1+y^2+xyyx+y-2frac{y}{1+x^2}end{matrix}right.
2, left{{}begin{matrix}x^3+8y^3-4xy^212x^4+8y^4-2x-y0end{matrix}right.
3, left{{}begin{matrix}x^2+y^2frac{1}{5}4x^2+3x-frac{57}{25}-yleft(3x+1right)end{matrix}right.
4, left{{}begin{matrix}sqrt{12-y}+sqrt{yleft(12-xright)}12x^3-8x-12sqrt{y-2}end{matrix}right.
5, left{{}begin{matrix}left(1-yright)sqrt{x-y}+x2+left(x-y-1right)sqrt{y}2y^2-3x+6y+12sqrt{x-2y}-sqrt{4x-5y-3}end{matrix}right.
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Giải hệ phương trình:
1, \(\left\{{}\begin{matrix}x^2+1+y^2+xy=y\\x+y-2=\frac{y}{1+x^2}\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}x^3+8y^3-4xy^2=1\\2x^4+8y^4-2x-y=0\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}x^2+y^2=\frac{1}{5}\\4x^2+3x-\frac{57}{25}=-y\left(3x+1\right)\end{matrix}\right.\)
4, \(\left\{{}\begin{matrix}\sqrt{12-y}+\sqrt{y\left(12-x\right)}=12\\x^3-8x-1=2\sqrt{y-2}\end{matrix}\right.\)
5, \(\left\{{}\begin{matrix}\left(1-y\right)\sqrt{x-y}+x=2+\left(x-y-1\right)\sqrt{y}\\2y^2-3x+6y+1=2\sqrt{x-2y}-\sqrt{4x-5y-3}\end{matrix}\right.\)
Giải hệ phương trình \(\left\{{}\begin{matrix}xy^2+3x^2=2y\\x^2y+y^2=-2x\end{matrix}\right.\)
Giải các hệ PT sau:
a) left{{}begin{matrix}2x^2-3xyy^2-3x-12y^2-3xyx^2-3y-1end{matrix}right.
b) left{{}begin{matrix}x^3-2y4y^3-2x4end{matrix}right.
c) left{{}begin{matrix}sqrt{x+1}-sqrt{7-y}4sqrt{y+1}-sqrt{7-x}4end{matrix}right.
d) left{{}begin{matrix}2x^2y+frac{1}{y}2y^2x+frac{1}{x}end{matrix}right.
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Giải các hệ PT sau:
a) \(\left\{{}\begin{matrix}2x^2-3xy=y^2-3x-1\\2y^2-3xy=x^2-3y-1\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x^3-2y=4\\y^3-2x=4\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}\sqrt{x+1}-\sqrt{7-y}=4\\\sqrt{y+1}-\sqrt{7-x}=4\end{matrix}\right.\)
d) \(\left\{{}\begin{matrix}2x^2=y+\frac{1}{y}\\2y^2=x+\frac{1}{x}\end{matrix}\right.\)
Giải phương trình:
1. \(\left\{{}\begin{matrix}5x-2y=-9\\4x+3y=2\end{matrix}\right.\)
2. \(\left\{{}\begin{matrix}2x+y-4=0\\x+2y-5=0\end{matrix}\right.\)
3. \(\left\{{}\begin{matrix}2x+3y-7=0\\x+2y-4=0\end{matrix}\right.\)
4. \(\left\{{}\begin{matrix}5x+6y=17\\9x-y=7\end{matrix}\right.\)
Giải các hệ phương trình
a) left{{}begin{matrix}x+y+xy3x^2y+xy^22end{matrix}right. b) left{{}begin{matrix}x^2+y^22left(xy+2right)x+y6end{matrix}right.
c) left{{}begin{matrix}x^2-2xyy^2-2yxend{matrix}right. d) left{{}begin{matrix}2x^2-xy+3y^213x^2+4xy-2y^2-6end{matrix}right.
e) left{{}begin{matrix}2x^2-y^21xy+x^22end{matrix}right. f) left{{}begin{matrix}x^2-y^21-xyx^2+y^23xy+11end{matrix}right.
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Giải các hệ phương trình
a) \(\left\{{}\begin{matrix}x+y+xy=3\\x^2y+xy^2=2\end{matrix}\right.\) b) \(\left\{{}\begin{matrix}x^2+y^2=2\left(xy+2\right)\\x+y=6\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}x^2-2x=y\\y^2-2y=x\end{matrix}\right.\) d) \(\left\{{}\begin{matrix}2x^2-xy+3y^2=13\\x^2+4xy-2y^2=-6\end{matrix}\right.\)
e) \(\left\{{}\begin{matrix}2x^2-y^2=1\\xy+x^2=2\end{matrix}\right.\) f) \(\left\{{}\begin{matrix}x^2-y^2=1-xy\\x^2+y^2=3xy+11\end{matrix}\right.\)
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Giải các hệ phương trình
a) left{{}begin{matrix}x+y+xy3x^2y+xy^22end{matrix}right. b) left{{}begin{matrix}x^2+y^22left(xy+2right)x+y6end{matrix}right.
c) left{{}begin{matrix}x^2-2xyy^2-2yxend{matrix}right. d) left{{}begin{matrix}2x^2-xy+3y^213x^2+4xy-2t^2-6end{matrix}right.
e) left{{}begin{matrix}2x^2-y^21xy+x^22end{matrix}right.
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Giải các hệ phương trình
a) \(\left\{{}\begin{matrix}x+y+xy=3\\x^2y+xy^2=2\end{matrix}\right.\) b) \(\left\{{}\begin{matrix}x^2+y^2=2\left(xy+2\right)\\x+y=6\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}x^2-2x=y\\y^2-2y=x\end{matrix}\right.\) d) \(\left\{{}\begin{matrix}2x^2-xy+3y^2=13\\x^2+4xy-2t^2=-6\end{matrix}\right.\)
e) \(\left\{{}\begin{matrix}2x^2-y^2=1\\xy+x^2=2\end{matrix}\right.\)
Giải hệ phương trình: \(\left\{{}\begin{matrix}2\left(x+y\right)=3\left(\sqrt[3]{x^2y}+\sqrt[3]{xy^2}\right)\\\sqrt[3]{x}+\sqrt[3]{y}=6\end{matrix}\right.\)