Math calculator

Quadratic Equation Calculator

Solve a quadratic equation and find roots, discriminant, and vertex.

Formulax = (-b +/- sqrt(b^2 - 4ac)) / 2a

Formula

Quadratic formula

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

x^2 - 3x + 2 has roots 1 and 2.

FAQ6 common questions for this calculator.

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?+

For the Quadratic Equation Calculator, 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?+

For the Quadratic Equation Calculator, enter the known quantities requested by the calculator and use the units implied by the Quadratic formula. If a value is unknown, choose a calculator that solves for that specific variable.

How accurate is the Quadratic Equation Calculator?+

Quadratic Equation Calculator is mathematically reliable for the entered values and selected operation. It follows the Quadratic formula. Rounding, order of operations, and undefined cases can still affect interpretation.

What should I check before using the Quadratic Equation Calculator result?+

For the Quadratic Equation Calculator, check the input values, operation order, rounding precision, and undefined cases before using the result. Compare one changed value at a time when testing scenarios.

RelatedNearby math calculators for the next step after Quadratic Equation Calculator.

Math calculators to compare next

Distance Formula CalculatorMathSlope CalculatorMathTriangle CalculatorMathPercentage Change CalculatorMathAverage CalculatorMathCircle CalculatorMathCylinder Volume CalculatorMathMidpoint CalculatorMathPercentage CalculatorMath

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. 1

    Enter your details

    Enter the values for the quadratic equation calculator scenario you want to check.

  2. 2

    Check the calculation

    Review the result alongside the quadratic formula: x = (-b +/- sqrt(b^2 - 4ac)) / 2a.

  3. 3

    Compare scenarios

    Change one or more inputs to see how they affect the quadratic Equation Calculator result before you use the estimate.