The discriminant is a value calculated from the coefficients of a quadratic equation $ax^2 + bx + c = 0$. It determines the nature and number of roots of the quadratic equation.
5 Must Know Facts For Your Next Test
The discriminant is given by the formula $D = b^2 - 4ac$.
If $D > 0$, the quadratic equation has two distinct real roots.
If $D = 0$, the quadratic equation has exactly one real root (a repeated root).
If $D < 0$, the quadratic equation has two complex conjugate roots.
The discriminant provides insight into whether the parabola corresponding to the quadratic equation intersects, touches, or does not intersect the x-axis.