MATH CALCULATOR
Quadratic Formula Calculator
Solve quadratic equations quickly and easily with our calculator.
What is the Quadratic Formula Calculator & How does it work?
A quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are constants, and a ≠ 0. The solutions to this equation can be found using the quadratic formula: x = (-b ± √(b2 – 4ac)) / (2a). This formula provides the roots of the equation, which can be real or complex numbers.The discriminant (b2 – 4ac) determines the nature of the roots: if it is positive, there are two distinct real roots; if zero, there is exactly one real root; and if negative, the roots are complex conjugates.
x = frac{{-b pm sqrt{{b^2 – 4ac}}}}{{2a}}
a = coefficient of x2, b = coefficient of x, c = constant term
Parameters
Result—
Frequently Asked Questions
What is the quadratic formula?
The quadratic formula is x = (-b ± √(b2 – 4ac)) / (2a), used to solve equations of the form ax2 + bx + c = 0.
How do I use this calculator?
Enter the coefficients a, b, and c from your quadratic equation into the respective fields, then click calculate to find the roots.
What does the discriminant tell us?
The discriminant (b2 – 4ac) tells you the nature of the roots: positive means two real roots, zero means one real root, and negative means two complex roots.
Can this calculator handle complex numbers?
Yes, if the discriminant is negative, the calculator will return complex number solutions.
What if a = 0 in my equation?
If a = 0, your equation is not quadratic but linear. Use a different method to solve it.
Are there any limitations to this calculator?
This calculator assumes you input valid numbers and that a ≠ 0. It may not handle very large or small numbers accurately.
Results are for informational purposes only and do not constitute professional advice.