Quadratic Equation Solver
Enter the coefficients of your quadratic equation (ax² + bx + c = 0) and our solver finds the roots using the quadratic formula, showing the discriminant and every step.
Enter coefficients for ax² + bx + c = 0
How to use this calculator
- 1Enter your values or expression in the fields above.
- 2Press Enter or click the calculate button.
- 3Read the result, then follow the numbered step-by-step working to understand each stage.
Worked Examples
Frequently Asked Questions
What is the quadratic formula?
x = (-b ± √(b² - 4ac)) / 2a. It solves any quadratic equation ax² + bx + c = 0.
What does the discriminant tell me?
If b²-4ac > 0, two real roots. If = 0, one repeated root. If < 0, complex roots.
Can it handle complex roots?
Yes, when the discriminant is negative the solver returns complex solutions.
Related Calculators
Learn the concepts
Understand the theory behind this calculator.
Quadratic Equations
A quadratic equation has the form ax² + bx + c = 0. It can have two, one, or zero real solutions.
Linear Equations
A linear equation is an equation of the first degree — the highest power of the variable is 1. It graphs as a straight line.
Polynomials
A polynomial is an expression of multiple terms with variables raised to non-negative integer powers.
Systems of Equations
A system of equations is a set of equations with multiple variables that are solved together.