Example 1: Two distinct real roots
Coefficient a: 1; Coefficient b: -5; Coefficient c: 6
Discriminant (b² - 4ac): 1; Nature of Roots: Two distinct real roots
Discriminant Calculator
Math0.0(0)
Calculates the discriminant (b² - 4ac) of a quadratic equation to determine the nature of the roots.
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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) and Nature of Roots 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.
Example 2: One real root (repeated)
Coefficient a: 1; Coefficient b: -4; Coefficient c: 4
Discriminant (b² - 4ac): 0; Nature of Roots: One real root (repeated)
Example 3: Two complex roots
Coefficient a: 1; Coefficient b: 2; Coefficient c: 5
Discriminant (b² - 4ac): -16; Nature of Roots: Two complex roots
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