Quadratic Equation Calculator

Find real or complex roots, vertex coordinates, and discriminant breakdown.

Modify the values and click the Calculate button to use this tool.

Quadratic Formula Solver

Solve ax²+bx+c=0.

Modify the values and click the Calculate button to use this tool.

Vertex Calculator

Find the turning point of the parabola.

Formula

x = (−b ± √(b²−4ac)) / 2a

How to use

  1. Enter coefficients a, b, c.
  2. View roots and discriminant chart.
  3. Use vertex tool for parabola analysis.

Formulas explained

Discriminant Δ = b²−4ac determines root nature: positive (two real), zero (one), negative (complex).

FAQ

Roots are complex conjugates involving imaginary numbers.

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