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Quadratic Formula Calculator
Solve a quadratic equation and report its discriminant.
Quadratic Formula Calculator Inputs
The x² coefficient cannot be zero for a quadratic.
Results computed instantly — your data never leaves your device.
Live Quadratic Formula Calculator Results
Real-TimeDiscriminant
-56.0000
Roots
No real roots
100% Client-SidePrivate & Secure
How to Use the Quadratic Formula Calculator
- 1
Enter the labeled values.
- 2
Confirm units and signs.
- 3
Review the live result.
- 4
Use the result for educational or planning purposes.
Formula & Mathematical Basis
x = (−b ± sqrt(b² − 4ac)) ÷ (2a).
Variable Key
a,b,cQuadratic coefficients
ΔDiscriminant b² − 4ac
Step-by-Step Examples
1
Two real roots
Scenario: Use x² − 3x + 2 = 0.
- 1.Enter 1, -3, 2.
- 2.Compute discriminant.
- 3.Take the square root.
- 4.Apply plus/minus branches.
✅ Roots 1 and 2 are shown.
Practical Use Cases
- Solve quadratic equations.
Common Pitfalls
- Using a=0.
- Assuming negative discriminants have real roots.
Frequently Asked Questions
What if the discriminant is negative?
The route reports no real roots.
Are complex roots shown?
No; this simple route shows real roots only.
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