Simple Roots
Coefficient a: 1; Coefficient b: -5; Coefficient c: 6
Discriminant (b² - 4ac): 1; Root 2 (Imaginary Part): 0; Root 2 (Real Part): 2; Root 1 (Imaginary Part): 0; Root 1 (Real Part): 3
Quadratic Formula Calculator
Math0.0(0)
Solves quadratic equations (ax² + bx + c = 0) for their roots using the quadratic formula.
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How To Use
How to use this calculator
Start with your values, or try a preset.
Step 1
Enter Coefficient a, Coefficient b, and Coefficient c in the units shown.
Step 2
Read Discriminant (b² - 4ac), Root 2 (Imaginary Part), Root 2 (Real Part), Root 1 (Imaginary Part), and Root 1 (Real Part) in the results panel. Results update as you change the inputs.
Step 3
Choose a preset to load an example, then adjust the values for your situation.
Worked Examples
Example calculations
See the inputs and their calculated results.
Double Root
Coefficient a: 1; Coefficient b: -6; Coefficient c: 9
Discriminant (b² - 4ac): 0; Root 2 (Imaginary Part): 0; Root 2 (Real Part): 3; Root 1 (Imaginary Part): 0; Root 1 (Real Part): 3
Complex Roots
Coefficient a: 1; Coefficient b: 2; Coefficient c: 5
Discriminant (b² - 4ac): -16; Root 2 (Imaginary Part): -2; Root 2 (Real Part): -1; Root 1 (Imaginary Part): 2; Root 1 (Real Part): -1
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