Math calculator
Quadratic Equation Calculator
Solve a quadratic equation and find roots, discriminant, and vertex.
Formula
Quadratic formula
x = (-b +/- sqrt(b^2 - 4ac)) / 2a
x^2 - 3x + 2 has roots 1 and 2.
FAQs
What if the discriminant is negative?+
The calculator shows complex roots.
What is the vertex?+
The vertex is the turning point of the parabola.
How does the Quadratic Equation Calculator calculate the result?+
It uses the Quadratic formula: x = (-b +/- sqrt(b^2 - 4ac)) / 2a. x^2 - 3x + 2 has roots 1 and 2.
What information do I need to use the Quadratic Equation Calculator?+
Solve a quadratic equation and find roots, discriminant, and vertex.
How accurate is the Quadratic Equation Calculator?+
Quadratic Equation Calculator applies the formula and assumptions shown on this page. Results may be rounded for readability, so verify changing rates, thresholds, medical guidance, or legal rules with the cited source or a qualified professional.
What should I check before using the Quadratic Equation Calculator result?+
Check that the units, dates, rates, and assumptions match your situation. Change one input at a time to understand which values have the largest effect on the result.
Math guide
How to use the Quadratic Equation Calculator
Solve a quadratic equation and find roots, discriminant, and vertex. The page also explains the quadratic formula and shows a practical example: x^2 - 3x + 2 has roots 1 and 2.
- 1
Enter your details
Enter the values for the quadratic equation calculator scenario you want to check.
- 2
Check the calculation
Review the result alongside the quadratic formula: x = (-b +/- sqrt(b^2 - 4ac)) / 2a.
- 3
Compare scenarios
Change one or more inputs to see how they affect the quadratic Equation Calculator result before you use the estimate.
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