Solve each quadratic equation by factoring and check

hello:

the discriminat of each quadratic equation : ax²+bx+c=0 ... (a ≠ 0) is:

Δ = b² - 4ac

1) Δ > 0 the equation has two reals solutions : x1,2 = (-b±√Δ) / 2a

factoring:

ax²+bx+c = a (x-x1) (x-x2)

2) Δ = 0 : one solution : x1 = x2 = - b/2a

factoring:

ax²+bx+c = a (x-x1) ²

3) Δ < 0 : no reals solutions ... no

factoring