Quadratic Equation Solver

Solve ax² + bx + c = 0 with steps

ax² + bx + c = 0

abc

1x² − 3x + 2 = 0

Two real roots

Discriminant Δ = b² − 4ac1

x₁ = 2

x₂ = 1

Parabola properties

Vertex x = −b/2a1.5

Vertex y-0.25

Axis of symmetryx = 1.5

Opensupward ∪

Quadratic formula: x = (−b ± √(b² − 4ac)) / 2a

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About the Quadratic Equation Solver

Solve quadratic equations ax² + bx + c = 0 instantly with the quadratic formula. Shows the discriminant, both real or complex roots, and the parabola's vertex, axis of symmetry, and opening direction — everything you need for algebra homework on quadratic functions and parabolas.

How to use

1Enter coefficients a, b, and c.
2Read the discriminant and the roots (real or complex).
3Check the vertex and axis of symmetry for graphing.

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Quadratic Equation Solver is part of DevKit — 100 free, privacy-first tools for developers, students, and everyone, built by Minhazul Ashim. Everything runs in your browser; your data never leaves your machine.