Quadratic Formula Calculator
Solve quadratic equations and calculate roots, discriminant, and vertex from coefficients a, b, and c.
About this tool
What is Quadratic Formula Calculator?
Solve equations in the form ax² + bx + c = 0 using the quadratic formula. Enter coefficients a, b, and c to calculate real or complex roots, the discriminant, and the parabola's vertex coordinates.
How to use
Get your result in a few steps
- 1
Enter coefficient a.
- 2
Enter coefficient b.
- 3
Enter coefficient c.
- 4
Click 'Calculate' to see the roots, discriminant, and vertex.
Frequently asked questions
Questions about Quadratic Formula Calculator
Can coefficient a be zero?
No. If a is zero, the equation is not quadratic.
Does the calculator support complex roots?
Yes. When the discriminant is negative, the two roots are displayed using i.
What is the discriminant?
The discriminant is b² - 4ac. Its sign determines whether a quadratic has two real roots, one repeated real root, or two complex roots.
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