Quadratic Solver

A quadratic equation has the form ax² + bx + c = 0 where a is not zero. It produces a parabola when graphed.

When the discriminant (b²-4ac) is negative, the equation has no real roots. Instead it has two complex conjugate roots involving the imaginary unit i.

The vertex is the highest or lowest point of the parabola. Its x-coordinate is -b/(2a).