Equation Solver — Quadratic & Linear System
Solve quadratics (real/complex roots + discriminant) and 2×2 linear systems. Client-side.
How to use
- 1 Quadratic: enter a, b and c for ax² + bx + c = 0.
- 2 Linear system: enter the coefficients of two equations in x and y.
- 3 Roots (real or complex) and the discriminant are shown instantly.
Why use this tool
- Solve quadratics with real or complex roots, plus the discriminant.
- Solve a 2×2 system of linear equations with Cramer’s rule.
- Runs entirely in your browser.
Frequently asked questions
What is the quadratic formula?
x = (−b ± √(b² − 4ac)) / 2a. The part under the root, b² − 4ac, is the discriminant.
What does the discriminant tell me?
If it’s positive there are two real roots; if zero, one repeated real root; if negative, two complex-conjugate roots.
How is the linear system solved?
By Cramer’s rule using determinants. If the determinant of the coefficient matrix is zero, there is no unique solution.
Does it handle a = 0?
Yes — it falls back to solving the linear equation bx + c = 0.
What is Equation Solver?
An equation solver finds the roots of a quadratic equation ax²+bx+c=0 — including complex roots and the discriminant — and solves a 2×2 system of linear equations using Cramer’s rule.
Equation Solver is a free math utility by Zerethon Tools. Solve quadratics (real/complex roots + discriminant) and 2×2 linear systems. Client-side. Runs entirely in the browser — no signup, no upload.
- Category
- Math
- Pricing
- Free
- Privacy
- Browser-based
- Signup
- Not required
Privacy
Your data never leaves your browser unless explicitly stated. Equation Solver runs entirely client-side — no server upload, no logging, no tracking of your input.
Build, share, and grow on Zerethon Social
Free signup. Earn points, collect achievements, and connect with creators worldwide.