Chương I - Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
1. \(\left\{{}\begin{matrix}x+xy+y=11\\x^2+y^2-xy-2\left(x+y\right)=-31\end{matrix}\right.\)
2. \(\left\{{}\begin{matrix}xy-x+y=-3\\x^2+y^2-x+y+xy=6\end{matrix}\right.\)
3. \(\left\{{}\begin{matrix}x^2+4y^2=8\\x+2y=4\end{matrix}\right.\)
4. \(\left\{{}\begin{matrix}2+6y=\frac{x}{y}-\sqrt{x-2y}\\\sqrt{x+\sqrt{x-2y}}=x+3y-2\end{matrix}\right.\)
Giải các hệ phương trình sau:
a) left{{}begin{matrix}4x^2-4xy-14x-3y^2+y+1005sqrt{xy}+2x+2y6sqrt{y}-8end{matrix}right.
b) left{{}begin{matrix}2x^4+3x^2y+4x^2-2y^2+3y+20sqrt{xleft(y-1right)}+2y+2sqrt{y-1}3x+2sqrt{x}+2end{matrix}right.
c) left{{}begin{matrix}x^6+3x^2-y^3-6y^2-15y-140sqrt{xy+2x-y-2}+6x-2y10end{matrix}right.
d) left{{}begin{matrix}xy+x+yx^2-2y^2xsqrt{2y}-ysqrt{x-1}2x-2yend{matrix}right.
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Giải các hệ phương trình sau:
a) \(\left\{{}\begin{matrix}4x^2-4xy-14x-3y^2+y+10=0\\5\sqrt{xy}+2x+2y=6\sqrt{y}-8\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}2x^4+3x^2y+4x^2-2y^2+3y+2=0\\\sqrt{x\left(y-1\right)}+2y+2\sqrt{y-1}=3x+2\sqrt{x}+2\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}x^6+3x^2-y^3-6y^2-15y-14=0\\\sqrt{xy+2x-y-2}+6x-2y=10\end{matrix}\right.\)
d) \(\left\{{}\begin{matrix}xy+x+y=x^2-2y^2\\x\sqrt{2y}-y\sqrt{x-1}=2x-2y\end{matrix}\right.\)
giải hệ:
a) left{{}begin{matrix}sqrt{x+3y}+sqrt{x+y}2sqrt{x+y}+y-x1end{matrix}right.
b) left{{}begin{matrix}x+y+frac{1}{x}+frac{1}{y}4x^2+y^2+frac{1}{x^2}+frac{1}{y^2}4end{matrix}right.
c) left{{}begin{matrix}left(x-frac{1}{y}right)left(y+frac{1}{x}right)22x^2y+xy^2-4xy2x-yend{matrix}right.
d) left{{}begin{matrix}2x^2+xyy^2-3y+2x^2-y^23end{matrix}right.
e) left{{}begin{matrix}x^2+y^2+z^2+2xy-xz-zy3x^2+y^2-2xy-xz+zy-1end{matrix}right.
f) left{{}begin{matrix}x^2-y^2+5x-y+60x^2+left(x-yright)...
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giải hệ:
a) \(\left\{{}\begin{matrix}\sqrt{x+3y}+\sqrt{x+y}=2\\\sqrt{x+y}+y-x=1\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x+y+\frac{1}{x}+\frac{1}{y}=4\\x^2+y^2+\frac{1}{x^2}+\frac{1}{y^2}=4\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}\left(x-\frac{1}{y}\right)\left(y+\frac{1}{x}\right)=2\\2x^2y+xy^2-4xy=2x-y\end{matrix}\right.\)
d) \(\left\{{}\begin{matrix}2x^2+xy=y^2-3y+2\\x^2-y^2=3\end{matrix}\right.\)
e) \(\left\{{}\begin{matrix}x^2+y^2+z^2+2xy-xz-zy=3\\x^2+y^2-2xy-xz+zy=-1\end{matrix}\right.\)
f) \(\left\{{}\begin{matrix}x^2-y^2+5x-y+6=0\\x^2+\left(x-y\right)^2=2+\sqrt{6x+7}+2\sqrt{x+y+1}\end{matrix}\right.\)
giải hệ
a,left{{}begin{matrix}left(x+yright)left(x^2+y^2right)15left(x-yright)left(x^2-y^2right)3end{matrix}right.
b,left{{}begin{matrix}x^3-y^39x^2+2y^2x-4yend{matrix}right.
c,left{{}begin{matrix}left(x-yright)left(2x+3yright)126left(x-yright)+xyleft(x-yright)12end{matrix}right.
d,left{{}begin{matrix}x^2+y^2+12left(x+yright)yleft(2x-yright)left(2y+1right)end{matrix}right.
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giải hệ
a,\(\left\{{}\begin{matrix}\left(x+y\right)\left(x^2+y^2\right)=15\\\left(x-y\right)\left(x^2-y^2\right)=3\end{matrix}\right.\)
b,\(\left\{{}\begin{matrix}x^3-y^3=9\\x^2+2y^2=x-4y\end{matrix}\right.\)
c,\(\left\{{}\begin{matrix}\left(x-y\right)\left(2x+3y\right)=12\\6\left(x-y\right)+xy\left(x-y\right)=12\end{matrix}\right.\)
d,\(\left\{{}\begin{matrix}x^2+y^2+1=2\left(x+y\right)\\y\left(2x-y\right)=\left(2y+1\right)\end{matrix}\right.\)
giải hệ pt:
\(\left\{{}\begin{matrix}\frac{1}{\sqrt{x}}-\frac{\sqrt{x}}{y}=x^2+xy-2y^2\\\left(\sqrt{x+3}-\sqrt{y}\right)\left(1+\sqrt{x^2+3x}\right)=3\end{matrix}\right.\)
mọi người giải gúp mình với. Cần cực gấp a,left{{}begin{matrix}3x+2y-2-x+4y3end{matrix}right.b,left{{}begin{matrix}x+2y115x-3y3end{matrix}right.c,left{{}begin{matrix}10x-9y115x+21y36end{matrix}right.d,left{{}begin{matrix}2x+y3x+y2end{matrix}right.e,left{{}begin{matrix}x+y22x-3y9end{matrix}right.f,left{{}begin{matrix}x-2y115x+3y3end{matrix}right.g,left{{}begin{matrix}3x-y52x+3y18end{matrix}right.h,left{{}begin{matrix}5x+3y-73x-y-8end{matrix}right.
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mọi người giải gúp mình với. Cần cực gấp \(a,\left\{{}\begin{matrix}3x+2y=-2\\-x+4y=3\end{matrix}\right.b,\left\{{}\begin{matrix}x+2y=11\\5x-3y=3\end{matrix}\right.c,\left\{{}\begin{matrix}10x-9y=1\\15x+21y=36\end{matrix}\right.d,\left\{{}\begin{matrix}2x+y=3\\x+y=2\end{matrix}\right.e,\left\{{}\begin{matrix}x+y=2\\2x-3y=9\end{matrix}\right.f,\left\{{}\begin{matrix}x-2y=11\\5x+3y=3\end{matrix}\right.g,\left\{{}\begin{matrix}3x-y=5\\2x+3y=18\end{matrix}\right.h,\left\{{}\begin{matrix}5x+3y=-7\\3x-y=-8\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x\sqrt{2}-y\sqrt{3}=1\\x+y\sqrt{3}=\sqrt{2}\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\left(\sqrt{2}-1\right)x-y=\sqrt{2}\\x+\left(\sqrt{2}+1\right)y=1\end{matrix}\right.\)
Giải hệ phương trình :
a) \(\left\{{}\begin{matrix}x^2+y^2=1\\x^2+y^2=1\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\sqrt{x}+\sqrt{y}+\sqrt{z}=2014\\\dfrac{1}{3x+2y}+\dfrac{1}{3y+2z}+\dfrac{1}{3z+2x}=\dfrac{1}{x+2y+3z}+\dfrac{1}{y+2x+3x}+\dfrac{1}{z+2x+3y}\end{matrix}\right.\)
1.Giải hệ phương trình:
\(\left\{{}\begin{matrix}2x+y=5\\3x-2y=11\end{matrix}\right.\)
2.Rút gọn biểu thức:
B=\(\left(\dfrac{\sqrt{x}+1}{\sqrt{x}-2}+\dfrac{2\sqrt{x}}{\sqrt{x}+2}+\dfrac{5\sqrt{x}+2}{4-x}\right):\dfrac{1}{\sqrt{x}+2}\)với x>0;x\(\ne\)9