Quadratic Formula Calculator
Use this quadratic formula calculator to solve equations in the form ax² + bx + c = 0. Enter the coefficients a, b and c to find the real or complex roots instantly.
How to Use the Quadratic Formula Calculator
Enter coefficients a, b and c from ax² + bx + c = 0. The calculator evaluates the discriminant and returns real or complex roots.
Practical Example
For x² − 5x + 6 = 0, use a = 1, b = −5 and c = 6. The roots are 2 and 3.
Factors That Affect the Result
Coefficient accuracy matters, and a cannot equal zero. Rounding can affect displayed decimal roots, while a negative discriminant produces complex rather than real roots.
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Frequently Asked Questions
What does a negative discriminant mean?
It means the equation has two complex conjugate roots.
Can a equal zero?
No. If a is zero, the equation is linear rather than quadratic.
Can roots be irrational?
Yes. The roots may be integers, fractions, irrational values or complex numbers.