A quadratic equation in the form ax² + bx + c = 0 can be solved using the quadratic formula. The formula calculates the roots, which are the x-values where the parabola crosses or touches the x-axis.
The discriminant tells you the root type before solving. A positive discriminant means two real roots. A zero discriminant means one repeated root. A negative discriminant means two complex roots.
Frequently Asked Questions
A quadratic equation is an equation of the form ax² + bx + c = 0, where a is not zero.
The discriminant shows whether the equation has two real roots, one repeated root, or two complex roots.
The vertex is the turning point of the parabola. It is the minimum point when a is positive and the maximum point when a is negative.
Yes. If the discriminant is negative, the quadratic has no real roots. It has two complex conjugate roots.
If a is zero, the equation is no longer quadratic because the x² term disappears. It becomes a linear equation instead.