Question

Решите уравнение 4x^2 - 5xy + y^2 =0

Answer 1

$4x^2 - 5xy + y^2 =0$
$x^{2} +3x^2 - 2xy -3xy+ y^2 =0$
$(x^{2} - 2xy+y^2) +(3x^2 -3xy) =0$
$(x-y)^2 +3x(x -y) =0$
$(x-y)(x-y +3x) =0$
$(x-y)(4x-y) =0$
$x-y=0$   или   $4x-y =0$
$x=y$         или    $x= frac{y}{4}$