# Quadratic Equation Solver

> Solve ax² + bx + c = 0 with real or complex roots and see the discriminant.

To solve a quadratic equation, enter the coefficients a, b and c from ax² + bx + c = 0. The solver reports the discriminant, which determines whether there are two real roots, one repeated root or a complex conjugate pair, plus the vertex of the parabola.

**URL:** https://convertto.tech/t/quadratic-equation-solver
**Category:** Calculators (https://convertto.tech/c/calculators)
**Privacy:** Runs entirely in the browser; no upload
**Cost:** Free, no sign-up
**Last updated:** 2026-08-01

## Key facts

- **Privacy:** Runs entirely in your browser — nothing is uploaded
- **Cost:** Free, unlimited, no sign-up

## How to use

1. Set the a (x² coefficient).
2. Set the b (x coefficient).
3. Set the c (constant).
4. The result appears immediately — copy or download it.

## FAQ

### What does the discriminant tell me?

Whether real solutions exist. If b² − 4ac is positive there are two; if zero, one repeated root; if negative, no real solutions and two complex ones. It answers the question before you finish solving.

### Why do quadratics matter outside exams?

They describe anything under constant acceleration — a thrown object, braking distance, projectile paths — and appear throughout optimisation, where the maximum or minimum of a quadratic is where its derivative is zero.

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