Respuesta :
[tex] - 2 {x}^{2} = - 8x + 8 \\ - 2 {x}^{2} + 8x - 8 = 0[/tex]
Discriminant:
[tex] {b}^{2} - 4ac \\ = {8}^{2} - 4( - 2)( - 8) \\ = 64 - 64 = 0[/tex]
If the discriminant = 0, it is double real roots.
If the discriminant > 0, it is real roots.
If the discriminant < 0, there are no real roots.