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Quadratic Equation Solver

Enter a, b and c to get the exact roots of ax² + bx + c = 0 — real, repeated, or complex — using the quadratic formula and its discriminant.

Solve ax² + bx + c = 0

FAQs

What does a negative discriminant mean?

It means the equation has no real roots — only a pair of complex conjugate roots (of the form p ± qi). The calculator shows these directly rather than reporting "no solution".

What if I enter a = 0?

With a = 0 the equation is no longer quadratic — it reduces to the linear equation bx + c = 0, which the calculator solves directly as x = −c ÷ b.

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