▣ CALCULATORS Updated July 25, 2026

Quadratic Equation Solver

Roots, discriminant, and vertex of ax² + bx + c.

a
b
c
Result
Ad space · belowTool · horizontal

How it works

The solver applies the quadratic formula and reports the discriminant b² − 4ac, which tells you whether the roots are real and distinct, repeated, or complex.

Frequently asked questions

What if the discriminant is negative?

The roots are complex, and the tool shows them in a ± bi form.

What is the vertex used for?

It is the turning point of the parabola, useful for maximum and minimum problems.

Comments

Comments aren't enabled yet. When you're ready, this is where a service like Giscus, Disqus, or a custom form would go — the slot is already reserved on every tool page.