Quadratic Formula Calculator
Solve a quadratic equation using the quadratic formula.
Calculator updated
Use this page to get a quick answer, then check the formula and example before making an important decision.
- The main result from your inputs
- Formula used for the calculation
- Worked example and common mistakes
- Related calculators for the next step
Formula
x = (-b ± √(b² - 4ac)) / 2a.
x² - 3x + 2 = 0 gives x = 1 and x = 2.
Enter the known values and apply x = (-b ± √(b² - 4ac)) / 2a.. Keep signs, decimal places, and the order of operations consistent with the problem you are checking.
Use the Quadratic Formula Calculator to solve or verify a math problem, compare inputs, and check a manual calculation.
Common math errors include using the wrong operation, dropping a negative sign, rounding intermediate steps too early, and confusing percentages with decimal values.
Examples
Inputs
a coefficient, b coefficient, c coefficient
Keep units and time periods consistent.Formula
x = (-b ± √(b² - 4ac)) / 2a.
Use the formula to verify the result.What the result means
Solve a quadratic equation using the quadratic formula.
Change one input at a time to compare scenarios.How to Calculate Quadratic Formula Manually
Start with the values requested in the form, keep the units consistent, and apply this formula: x = (-b ± √(b² - 4ac)) / 2a.
The calculator above follows the same logic, then formats the answer so you can quickly compare inputs, copy the result, and check the related tools if your task has another step.
When to Use This Calculator
- Solve a homework or everyday math problem
- Check a manual calculation
- Compare different inputs
- Verify a formula step
How It Works
- Enter a coefficient, b coefficient, c coefficient.
- Confirm signs, units, and decimal values.
- Compare the result with the formula shown on the page.
Common Mistakes
- Using the wrong operation
- Dropping a negative sign
- Rounding intermediate steps
- Confusing percentages and decimals
Related Calculators
More Algebra & geometry tools
Continue the same workflow with closely related calculators.
Frequently Asked Questions
What does the Quadratic Formula Calculator do?
Solve a quadratic equation using the quadratic formula.
Is this result an estimate?
Yes. The calculator follows the formula shown on the page. Verify important decisions with a qualified professional where needed.
Can I use this on mobile?
Yes. The calculator is designed to work on phones, tablets, and desktop screens.