Question

$left { {{ x^{2} +2xy=0} atop { x^{2} + y^{2}=xy+1 }} right.$ решите однородную систему уравнений ...

Answer 1

$x^2+2xy=0\ x^2+y^2=xy+1\ \ x^2=-2xy\ x=-2y\ 4y^2+y^2=-2y^2+1\ 7y^2=1\ y=+-frac{sqrt{7}}{7}\ x=+-frac{2sqrt{7}}{7}\ x=0 y=+-1$