Math calculator
Quadratic Formula Calculator
Solve quadratic equations ax² + bx + c = 0.
About the quadratic formula calculator
The quadratic formula calculator solves ax² + bx + c = 0, finding real or complex roots.
How to use this calculator
- 1
Enter coefficients
Enter a, b, and c values.
- 2
View results
See the roots (real or complex) and discriminant.
How the calculation works
Discriminant = b² − 4ac. If ≥0: x = (−b ± √discriminant) ÷ 2a. If <0: complex roots.
Example: a=1, b=−5, c=6 gives x=2 and x=3.
When to use a calculator vs. mental math
Simple operations like percentages and proportions are great for mental math. Complex problems — quadratic equations, standard deviation, and base conversions — benefit from calculator precision. Always estimate the answer first to catch input errors, and verify results with a second method when possible.
Important limitations
This tool provides a mathematical estimate based only on the values entered. It does not account for regulations, taxes, lender fees, market conditions, or individual circumstances. Results are for planning purposes only — consult a qualified professional for regulated, medical, financial, or construction decisions.
Frequently asked questions about quadratic formula calculator
How accurate is the quadratic calculator?+
The calculation follows the displayed formula and retains full numeric precision before formatting the result.
Can I use the result professionally?+
Use it as a planning estimate. Confirm regulated, medical, financial, or construction decisions with a qualified professional.