The discriminant value which is calculated from a quadratic equation in the form of ax^2 + bx + c = 0 is used to determine or reveal what type of roots the equation has. The formula for the discriminant makes use of the coefficients:
Discriminant = b^2 – 4ac
The following conditions are:
D < 0 ; there are two non-real or imaginary roots which are complex conjugates
D = 0 ; there is one real root and one imaginary (non-real)
D > 0 ; there are two real distinct roots
Therefore the answer to this question is:
The solution has one real root and one imaginary root.
