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Quadratic Formula Calculator & Solver

Calculator for solutions to any Quadratic equation.

The calculator uses the quadratic formula to find solutions to any quadratic equation.

The formula is: $ \frac{ -b \pm \sqrt{b^2 -4ac}}{2a } $

The quadratic formula calculator below will solve any quadratic equation that you type in. Simply type in a number for 'a', 'b' and 'c' then hit the 'solve' button.

Quadratic Formula Calculator and Solver

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The Discriminant


The Work


The Actual Solutions


The Graph

Parabola Animated Gifs

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More Quadratic Gifs

The calculator on this page shows how the quadratic formula operates, but if you have access to a graphing calculator you should be able to solve quadratic equations, even ones with imaginary solutions.

  • Step 1) Most graphing calculators like the TI- 83 and others allow you to set the "Mode" to "a + bi" (Just click on 'mode' and select 'a+bi').
    • If you can set your calculator's mode to a + bi you should be able to even calculate imaginary solutions.
  • The rest of the steps just involve typing in a,b and c. Make sure that you divide the entire numerator by 2a, just use parentheses.
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