∴ MathSolverAI PUBLIC PILOT

Quadratic equation solver

From coefficients
to checked roots.

Find real roots of supported quadratic equations using the discriminant and quadratic formula, then check the roots by substitution.

Open the learning workspaceSee verified capability limits

Try the verified local solver

Enter a linear or quadratic equation in x. Examples: 2x + 3 = 11 or x^2 - 5x + 6 = 0.

Open the full learning workspace

Your result will appear here.

The method

  1. Move every term to one side and identify a, b and c.
  2. Compute the discriminant Δ = b² − 4ac.
  3. Apply the quadratic formula when Δ is nonnegative.
  4. Substitute each root and inspect the residual.

The numerical residual checks the computed roots for this polynomial. It is not a symbolic proof and does not cover complex roots in this pilot.