Quadratic Formula Calculator

This quadratic formula calculator helps you solve equations in the form ax² + bx + c = 0. It works quickly and gives clear answers.

How to Use This Tool

1. Fill in the Coefficients:

   Enter a number in the box labeled "Coefficient a." Remember, a cannot be 0. Next, type values for "Coefficient b" and "Coefficient c."

2. Click Calculate:

   Press the "Calculate Roots" button. The tool reads your numbers and performs the calculation.

3. View the Output:

   The calculator shows a clear step-by-step solution. You see the equation, the identified coefficients, and the computed discriminant. Finally, it lists the roots. The roots may be two real numbers, one repeated number, or a pair of complex numbers.

Using Each Input Field

• Coefficient a:

  Enter any number except 0. A value of 0 makes the equation linear.

• Coefficient b:

  Type the number that comes before the x.

• Coefficient c:

  Fill in the constant term at the end of the equation.

Understanding the Output

The output shows each calculation step. You first see your equation written out. Then, the tool shows the calculation of the discriminant. It uses the quadratic formula to find the solution. If the discriminant is positive, you get two real roots. If it is 0, one repeated root appears. A negative discriminant indicates two complex roots with an imaginary part.

Limitations and Special Notes

The tool only accepts valid numbers. It gives an error if any input is missing or if coefficient a is 0. Always check your inputs before you calculate.

Common Use Cases

• Solving quadratic equations for homework.
• Checking work in math class exercises.
• Using in study sessions to better understand quadratic equations.

Try the quadratic formula calculator to quickly and accurately solve quadratic equations. The tool gives clear results and guides you through each step. Follow the instructions and enjoy a straightforward approach to math.