Tìm x,y∈N* sao cho
\(a,x^2y^2\left(y-x\right)=5y^2-27\\ b,x^4-x^2+2x^2y-2xy+2y^2-2y-36=0\)
Tìm x,y thuộc n sao để x^3y-x^2y+4x^2+5xy-y^2=0
tìm số nguyên x,y sao cho x(x^2-y)+y+3)(x^2+1)=0
Giải hệ \(\left\{{}\begin{matrix}2x^2=1+5xy+y^2\\y\left(\sqrt{y\left(x-2y\right)}+\sqrt{y\left(4y-x\right)}\right)=1\end{matrix}\right.\)
Tìm \(x,y\in Z\)sao cho \(\left(x+2\right)^2y+\left(y+2\right)^2x+26=0\)
\(\left\{{}\begin{matrix}2x^2+y^2+5xy-y=-2\\x^2-y^2+2xy+x+2y=-4\end{matrix}\right.\)
\(\left\{{}\begin{matrix}2x^2+y^2+5xy-y=-2\\x^2-y^2+2xy+x+2y=-4\end{matrix}\right.\)
\(\left\{{}\begin{matrix}2x^2+y^2+5xy-y=-2\\x^2-y^2+2xy+x+2y=-4\end{matrix}\right.\)
Tìm Min
A= \(x^6+2x\left(x^2+y\right)+x^2+y^2+26\)
B=\(y^2-2xy+3x^2+2y-14x+1949\)
C=\(5x^2+\frac{4}{x^2}+y^2=5xy\)
D= \(x\left(x-1\right)\left(x-2\right)\left(x-3\right)\)
E= \(\frac{2010}{x^2+y^2-20\left(x-2y\right)-4x+2016}\)
\(\left\{{}\begin{matrix}\left(a+1\right)x-y=a+1\\x+\left(a-1\right)y=2\end{matrix}\right.\)
Tìm a để hệ có nghiệm duy nhất (x;y) sao cho x+2y = 2