Quadratic Equation Solver

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Solve any quadratic equation ax² + bx + c = 0 to find its real or complex roots, plus the discriminant, vertex and axis of symmetry. Free and instant.

x2 +
x +
= 0
Enter the coefficients a, b and c. Coefficient a cannot be zero for a quadratic.
Roots –
Nature of roots –
Discriminant (b² − 4ac) –
Vertex (x, y) –
Axis of symmetry –
Roots use the quadratic formula. A positive discriminant gives two real roots, zero gives a repeated root, and a negative value gives complex conjugate roots.
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