Math & Algebra

Quadratic Equation

When discriminant < 0, roots are complex conjugates.

Both agree; the formula always works when a ≠ 0.

Roots of ax²+bx+c=0.

a b c

Educational estimates only. Not medical, legal, tax, or financial advice.

Guide: Quadratic Equation

Applies the quadratic formula or factoring path to find roots.

Enter coefficients a, b, c, then solve.

x = (−b ± √(b² − 4ac)) / (2a).

x² − 5x + 6 = 0 → roots 2 and 3.

What if a = 0?

That is not quadratic; the tool should treat it as linear or invalid.

Complex roots?

When discriminant < 0, roots are complex conjugates.

Factoring vs formula?

Both agree; the formula always works when a ≠ 0.