Tìm x,y∈N* sao cho
\(a,x^2y^2\left(y-x\right)=5y^2-27\\ b,x^4-x^2+2x^2y-2xy+2y^2-2y-36=0\)
Giải hpt:
a)\(\left\{{}\begin{matrix}\dfrac{2y-5x}{3}+5=\dfrac{y+27}{4}-2x\\\dfrac{x+1}{3}+y=\dfrac{6y-5x}{7}\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\dfrac{1}{2}\left(x+2\right)\left(y+3\right)-\dfrac{1}{2}xy=50\\\dfrac{1}{2}xy-\dfrac{1}{2}\left(x-2\right)\left(y-2\right)=32\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}\left(x+20\right)\left(y-1\right)=xy\\\left(x-10\right)\left(y+1\right)=xy\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}\dfrac{2}{x+2y}+\dfrac{1}{y+2x}=3\\\dfrac{4}{x+2y}-\dfrac{3}{y+2x}=1\end{matrix}\right.\)
e)\(\left\{{}\begin{matrix}\dfrac{3x}{x+1}-\dfrac{2}{y+4}=4\\\dfrac{2x}{x+1}-\dfrac{5}{y+4}=9\end{matrix}\right.\)
1. \(\hept{\begin{cases}x^2+y^2=2x^2y^2\\y+8x^2y+3x=5x^2+7xy\end{cases}}\)
2.\(\hept{\begin{cases}\left(x-1\right)y^2+x+y=3\\\left(y-2\right)x^2+2y-x=2xy\end{cases}}\)
Tìm \(x,y\in Z\): \(x^2+y^2+5x^2y^2+60=37xy\)
Giải hệ bằng phương pháp phân tích đa thức thành nhân tử
a) \(\left\{{}\begin{matrix}xy+x-2=0\\2x^3-x^2y+x^2+y^2-2xy-y=0\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x^2-2xy+x+y=0\\x^4-4x^2y+3x^2+y^2=0\end{matrix}\right.\)
giải hệ phương trình bằng phương pháp thế
\(â,\hept{\begin{cases}3x^2+\left(6-y\right)x^2-2xy=0\\x^2-x+y=-3\end{cases}}\)
\(b,\hept{\begin{cases}x^2+y^2+xy+1=4y\\y\left(x+y\right)^2=2x^2+7y+2\end{cases}}\)
\(c,\hept{\begin{cases}x^4+2x^3y+x^2y^2=2x+9\\x^2+2xy=6x+6\end{cases}}\)
\(d,\hept{\begin{cases}x\sqrt{y+1}=1\\x^2y=y-1\end{cases}}\)
\(\left\{{}\begin{matrix}x^3+xy^2+x^2+3x=2y^3+2x^2y+6y\\2\sqrt{y-1}+6\sqrt{xy-5x+3}=x^2+12x-16\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x^3+xy^2+x^2+3x=2y^3+2x^2y+6y\\2\sqrt{y-1}+6\sqrt{xy-5x+3}=x^2+12x-16\end{matrix}\right.\)
Giúp Mình Giải Bài Này Với:
a)\(\left(x-1\right).\left(2x-2.\sqrt{x^2-9}^{ }\right)+y.\left(3y-2.\sqrt{2y^2-4}\right)=12\)
b) 6x + 5y +18 = 2xy