Решите уравнение 4x^2 - 5xy + y^2 =0

[latex]4x^2 - 5xy + y^2 =0[/latex] [latex] x^{2} +3x^2 - 2xy -3xy+ y^2 =0[/latex] [latex] (x^{2} - 2xy+y^2) +(3x^2 -3xy) =0[/latex] [latex] (x-y)^2 +3x(x -y) =0[/latex] [latex] (x-y)(x-y +3x) =0[/latex] [latex] (x-y)(4x-y) =0[/latex] [latex]x-y=0[/latex]   или   [latex]4x-y =0[/latex] [latex]x=y[/latex]         или    [latex]x= \frac{y}{4} [/latex]