Quadratic Formula Calculator | Solve Equations Instantly

Quadratic Formula Calculator

Quadratic Formula Calculator

How to Use the Quadratic Formula Calculator?

1. Enter the coefficients

Start by identifying the coefficients a, b, and c in your quadratic equation. Enter these values into the corresponding input fields on the calculator. Make sure to input the correct signs (positive or negative) for each coefficient.

2. Click “Calculate

Once you’ve entered all the coefficients, click the “Calculate” button. The calculator will process the input and apply the quadratic formula.

3. Interpret the results

The calculator will display the solutions (roots) of the equation. Depending on the nature of the roots, you’ll see one of the following outcomes:

  • Two distinct real roots: If the discriminant (b² – 4ac) is positive, you’ll get two different real number solutions.
  • One real root (double root): If the discriminant is zero, you’ll get one real number solution, which is considered a double root.
  • Two complex conjugate roots: If the discriminant is negative, you’ll get two complex number solutions.

The calculator also provides the value of the discriminant, which helps in understanding the nature of the roots without having to calculate it separately.

Please note that the calculator assumes the equation is in the standard form ax² + bx + c = 0. If your equation is in a different form, you’ll need to rearrange it before using the calculator.

By following these steps, users can quickly and accurately solve quadratic equations, making this tool valuable for students, educators, and professionals dealing with mathematical problems involving quadratic expressions.

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