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Quadratic Equation Solver

Solve any equation of the form ax² + bx + c = 0 — get the roots, discriminant, vertex, factored form, and a live graph, with full step-by-step working.

Standard form:  ax2 + bx + c = 0
a x2 + b x + c = 0

a can't be 0 (that would make it linear). Decimals and negatives are fine.

Results

Roots (x)
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Discriminant (b²−4ac)
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Vertex
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Axis of symmetry
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Y-intercept
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Factored form
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Graph

ParabolaRootsVertex

Step-by-step (quadratic formula)