Quadratic Formula Calculator
Roots of ax^2 + bx + c = 0.
Enter the values and press Calculate.
How to use Quadratic Formula Calculator
The quadratic formula finds the values of x where ax squared plus bx plus c equals zero. This tool applies it directly.
Open Quadratic Formula Calculator on toolpermarket and enter your values above.
Enter the coefficients a, b, and c in the fields above, then press Calculate.
Read the result below the form. You can change any input and press Calculate again to compare scenarios.
Worked example. For x squared minus 3x plus 2, the roots are 1 and 2.
When to use Quadratic Formula Calculator. Use it in algebra, physics, or anywhere a squared term needs solving.
When you actually reach for this
- Use it in algebra, physics, or anywhere a squared term needs solving.
Where this tool stops being accurate
- Returns the exact math from your inputs; very large or small values can hit floating-point limits.
- For equations, it assumes the standard form the fields imply - check your a, b, c placement.
Frequently asked questions
What if there is no real root?
When the discriminant is negative the roots are complex, and the tool reports that no real root exists.
Can a be zero?
No. With a equal to zero the equation is linear, not quadratic, so the tool asks for a non-zero a.
Why did I get NaN?
Usually a domain error - a negative under a square root, division by zero, or a matrix that is not invertible. Check the inputs match the formula’s requirements.