Quadratic Equation Calculator
Solve ax² + bx + c = 0 and find the discriminant, real or complex roots, vertex, and axis.
How to use the tool
Enter the requested values and choose a mode or operation when needed. Fields start empty so results always reflect your own data.
x²−5x+6=0 has roots 2 and 3. x²+1=0 has roots ±i.
Formula and method
If a=0 and b≠0, the tool displays the linear solution.
x = (−b ± √(b²−4ac)) / 2a
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