Enter the a, b, and c coefficients for ax^2 + bx + c = 0 and solve the equation step by step.
Roots
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Enter the coefficients of a quadratic equation to compute its roots, discriminant, and vertex.
Tap an example to prefill the calculator with sample values.
Two real roots
x^2 - 5x + 6 = 0
A classic factoring example that also shows the discriminant staying positive.
Result: The parabola opens upward and crosses the x-axis twice.
Complex roots
2x^2 + 4x + 5 = 0
Useful when the discriminant is negative and the roots become complex.
Result: The roots have the same real part with opposite imaginary parts.