Quadratic Equation Calculator
Find the discriminant and real or complex conjugate roots of ax²+bx+c=0.
Input
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Result
Check or change the value using the example value result.
Fractional results are displayed up to 12 digits of precision. Please unify units in the input values.
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Calculation·conversion criteria
Discriminant and real/complex roots of a quadratic equation.
Input example
The root of x²−3x+2=0 is 1, 2
x²−3x+2=0 is entered as a=1, b=−3, c=2. The discriminant is 1, and the roots are 1 and 2, substituting them yields the original equation as 0.
How to use
- Use the example value or change items a, b, c.
- Click Verify result and check the following result.
- Result can be copied if needed.
Frequently Asked Questions
If the discriminant is negative, did the calculation fail?
No. There is no root for the range of errors, but for complex numbers, there are two roots. This tool uses the imaginary unit i. If a=0, it is not a quadratic equation, so it is not accepted.
Calculation criteria and reference materials
The calculation formula and scope of this tool are disclosed in the above description. Examples can be checked by substituting input values into the formula or following the specified string and calendar handling rules.
Verification of calculation criteria: · Calculation·verification principles · Report errors