Violympic toán 9
Các câu hỏi tương tự
1. Giải các hpt sau:
a, left{{}begin{matrix}x-y43x+4y19end{matrix}right. b, left{{}begin{matrix}x-sqrt{3y}sqrt{3}sqrt{3x}+y7end{matrix}right.
2. Giải các hpt sau:
a, left{{}begin{matrix}2-left(x-yright)-3left(x+yright)53left(x-yright)+5left(x+yright)-2end{matrix}right. b, left{{}begin{matrix}dfrac{2}{x-2}+dfrac{2}{y-1}2dfrac{2}{x-2}-dfrac{3}{y-1}1end{matrix}right.
c, left{{}begin{matrix}x+y24dfrac{x}...
Đọc tiếp
1. Giải các hpt sau:
a, \(\left\{{}\begin{matrix}x-y=4\\3x+4y=19\end{matrix}\right.\) b, \(\left\{{}\begin{matrix}x-\sqrt{3y}=\sqrt{3}\\\sqrt{3x}+y=7\end{matrix}\right.\)
2. Giải các hpt sau:
a, \(\left\{{}\begin{matrix}2-\left(x-y\right)-3\left(x+y\right)=5\\3\left(x-y\right)+5\left(x+y\right)=-2\end{matrix}\right.\) b, \(\left\{{}\begin{matrix}\dfrac{2}{x-2}+\dfrac{2}{y-1}=2\\\dfrac{2}{x-2}-\dfrac{3}{y-1}=1\end{matrix}\right.\)
c, \(\left\{{}\begin{matrix}x+y=24\\\dfrac{x}{9}+\dfrac{y}{27}=2\dfrac{8}{9}\end{matrix}\right.\) d, \(\left\{{}\begin{matrix}\sqrt{x-1}-3\sqrt{y+2}=2\\2\sqrt{x-1}+5\sqrt{y+2=15}\end{matrix}\right.\)
3. Cho hpt \(\left\{{}\begin{matrix}\left(m+1\right)x-y=3\\mx+y=m\end{matrix}\right.\)
a, Giải hpt khi m=\(\sqrt{2}\)
b, tìm giá trị của m để hpt có nghiệm duy nhất thỏa mãn: x+y>0
giải hpt: a,\(\left\{{}\begin{matrix}x^2+y^2+xy=7\\x^4+y^4+x^2y^2=21\end{matrix}\right.\) b,\(\left\{{}\begin{matrix}x+y+\dfrac{1}{x}+\dfrac{1}{y}=7\\x^2-y^2+\dfrac{1}{x^2}-\dfrac{1}{y^2}=21\end{matrix}\right.\)
giải hpt:\(\left\{{}\begin{matrix}x-y=7\\x^2+y^2=13\end{matrix}\right.\)
giải hpt:
1, \(\left\{{}\begin{matrix}2\left(x-1\right)y^2+x+y=4\\\left(y-3\right)x^2+y=x+2\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}x^2+y^2=2x+4\\2x+y+xy=4\end{matrix}\right.\)
giải hpt:
1,\(\left\{{}\begin{matrix}3x-y^2-2\sqrt{\left(x-2\right)\left(y+1\right)}=-5\\-2x+y^2+y=6\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}x^2+y=4x\\x^4+y^2=2x^2y+y-4\end{matrix}\right.\)
giải hpt: \(\left\{{}\begin{matrix}x^2+4x+y=18\\xy\left(x+1\right)\left(y+1\right)=72\end{matrix}\right.\)
giải hpt: \(\left\{{}\begin{matrix}xy+x+y=0\\xy^2-4=x^2\end{matrix}\right.\)
giải hpt: \(\left\{{}\begin{matrix}x^3-x^2+x+1=2y\\y^3-y^2+y+1=2x\end{matrix}\right.\)
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 hpt: \(\left\{{}\begin{matrix}x+y=8\\\sqrt{x^2+9}+\sqrt{y^2+9}+10\end{matrix}\right.\)