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Quadratic Equation Solver Calculator
Solve ax2 + bx + c = 0 for real or complex roots.
📈 Free Online Tool
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Roots
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Solve ax2 + bx + c = 0 for real or complex roots.
Quadratic Equation Solver Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: x = (-b +/- sqrt(b2 – 4ac)) / 2a.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Quadratic Quick Guide
Typical values for reference.
| D | Roots | Graph | Example |
|---|---|---|---|
| D > 0 | Two real | Crosses x twice | x2-3x+2 |
| D = 0 | One real | Touches x axis | x2-2x+1 |
| D < 0 | Complex | Misses x axis | x2+1 |
| a = 0 | Linear | Not quadratic | 3x+2 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Quadratic Equation Solver Calculator FAQ
Answers to common questions about this calculator.
b2 – 4ac, which tells you how many real roots exist.
It gives a quick estimate of quadratic equation solver from the values you enter.
No. It is a planning estimate, so check important figures with a professional or official source.
Yes. Edit any field and the result updates when you calculate.