Solve ax² + bx + c = 0 — get roots, discriminant, vertex & steps
A quadratic equation is a second-degree polynomial in the form ax²+bx+c=0, where a≠0. It can have two real roots, one repeated root, or two complex roots.
The quadratic formula is x = (-b ± √(b²-4ac)) / (2a). It solves any quadratic equation.
The discriminant D = b²-4ac. D>0: two real roots. D=0: one repeated root. D<0: two complex roots.
The vertex is at x = -b/(2a), y = c - b²/(4a). It's the max or min point of the parabola.
Yes! When D<0, both complex conjugate roots are shown in a+bi form.
If a=0, it becomes a linear equation bx+c=0, solved as x = -c/b.
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Yes, the discriminant calculation and formula substitution are shown step by step.