Quadratic equation hacks using the discriminant

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Quadratic equation hacks using the discriminant

Solve x^2- 4x+ 5 using a discriminant:

Discriminant is:
Discriminant = b^2- 4ac
Discriminant = (-4)^2 - 4(1)(5)
Discriminant = 16 - 20
Discriminant = -4

When Discriminant < 0, the quadratic has no solution