Suppose the roots a quadratic, in the form ax2 + bx + c = 0, are p and q.
Then p + q = -b/a
and pq = c/a
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radical equations have sq roots, cube roots etc. Quadratic equations have x2.
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
The roots of a quadratic function are where the lies interescts with the x-axis. There can be as little as zero.
Either "roots" or "solutions".
It discriminates between the conditions in which a quadratic equation has 0, 1 or 2 real roots.