Quadratic Equation Solver
Solve quadratic equations using the quadratic formula.
- Free Online Tool
- Instant Results
- Mobile Friendly
- No Installation
- Secure & Private
Understanding This Calculator
Quadratic Formula
Find the roots of a quadratic equation ax² + bx + c = 0.
x = [-b ± √(b² - 4ac)] / 2a
Discriminant (Δ)
Δ = b² - 4ac
- Δ > 0: Two distinct real roots
- Δ = 0: One real root (repeated)
- Δ < 0: Complex roots
Example 1
x² - 5x + 6 = 0 (a=1, b=-5, c=6)
- Δ = (-5)² - 4(1)(6) = 25 - 24 = 1
- x = (5 ± √1) / 2
- x₁ = (5+1)/2 = 3, x₂ = (5-1)/2 = 2
- Roots: 3, 2
How to Use
- Enter coefficient a.
- Enter coefficient b.
- Enter constant c.
- Get both roots.
Frequently Asked Questions
How do I use the Quadratic Equation Solver?
Enter your values in the input fields, and the result will appear instantly.
Is this calculator free to use?
Yes, this calculator is 100% free and does not require any registration or subscription.
Is it mobile-friendly?
Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.