Quadratic equation solver

Client

Enter coefficients a, b, c for ax² + bx + c = 0—pair with math eval for other expressions.

About Quadratic equation solver

Solve ax² + bx + c = 0 with discriminant—real or complex roots, computed in your browser. The interactive transform on this page runs in your browser tab—Toolcore does not need your paste for the core operation described above.

How to use this page

Paste or type in the main workspace, run the primary action from the toolbar, then copy or download the result. Use Load example when the page offers it, or URL prefill (?q= / ?qb=) so agents and tickets open the same input.

Discriminant: 1

  • x = 3
  • x = 2

Nearby workflows on Toolcore

  • Math expression evaluator — Evaluate basic + − × ÷ arithmetic with parentheses in your browser—no variables. when units or numeric output should be checked on a related calculator.
  • Perfect square checker — Test whether a whole number is a perfect square and show its integer root—BigInt, local only. when units or numeric output should be checked on a related calculator.
  • Percentage calculator — Percent of a value, ratio to percent, and percent change—no server round-trip. when units or numeric output should be checked on a related calculator.
  • Prime number checker — Test whether a whole number is prime—BigInt trial division in your browser, no upload. when units or numeric output should be checked on a related calculator.

Common use cases

  • Check homework roots for quadratics.
  • See discriminant sign before factoring.

Common mistakes to avoid

  • Setting a = 0

    When a is zero the equation is linear, not quadratic.

FAQ

Complex roots?

Negative discriminant returns a conjugate pair in a + bi form.

Is data uploaded?

No. Solving runs locally.

More tools

Related utilities you can open in another tab—mostly client-side.