It discriminates between the conditions in which a quadratic equation has 0, 1 or 2 real roots.
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There are two complex solutions.
it has one real solution
That its roots (solutions) are coincident.
The discriminant must be a perfect square or a square of a rational number.
An equation with a discriminant that is less than zero. Note that in getting the discriminant, use the general form: ax²+bx+c=0 D=b²-4ac