Math & Calculators / Quadratic Equation Solver
Quadratic Equation Solver
Solve equations of the form ax² + bx + c = 0.
Solves equations of the form: ax² + bx + c = 0
Features
- Handles real and complex roots
- Shows the discriminant case automatically
- Instant results
- Free, unlimited use
How to Use
Step 1
Enter coefficients a, b, and c.
Step 2
Click Solve.
Step 3
Review the roots shown.
About This Tool
Quadratic Equation Solver finds the roots of any quadratic equation, handling real, repeated, and complex root cases.
Formula used: x = [-b ± √(b² - 4ac)] ÷ 2a, where the discriminant (b² - 4ac) determines whether roots are real or complex.
Frequently Asked Questions
What if a is zero?
The tool shows an error, since that would no longer be a quadratic equation.
What are complex roots?
Roots involving the imaginary unit i, occurring when the discriminant is negative.