Quadratic formula solver

Enter coefficients for $ax^2 + bx + c = 0$. The tool reports the discriminant $\Delta = b^2 - 4ac$ and the roots: two real, one repeated, or a complex conjugate pair when $\Delta < 0$.

Coefficient inputs only — no free-text parsing.

What it computes. Exact roots of a monic-or-not quadratic over the reals, with complex pairs written as $x = \mathrm{re} \pm \mathrm{im}\, i$ when needed.
Limitations. Requires $a \neq 0$. Floating-point rounding can nudge a tiny discriminant across zero. See the site disclaimer.

Related: Calculus foundations · Continuity