Quadratic Equation Solver – The Fox Click : Free Tools and Resources

Quadratic Equation Solver

The Quadratic Equation Solver is a simple tool for solving quadratic equations of the form:

$ax^2 + bx + c = 0$

It takes the coefficients $a$ , $b$ , and $c$ as inputs and calculates the roots of the equation using the quadratic formula:

$\frac{-b \pm \sqrt{b^2 – 4ac}}{2a}$

The tool can handle real and complex solutions based on the discriminant value ( $b^2 – 4ac$ ):

Two real roots if the discriminant is positive.
One real root if the discriminant is zero.
No real roots if the discriminant is negative (complex roots).

Key Features:

Input Fields: Users enter the coefficients $a$ , $b$ , and $c$ to solve the equation.
Solution Display: Displays the roots of the quadratic equation, including complex roots if necessary.
Error Handling: Alerts users for invalid or missing inputs.
Downloadable Result: After solving the equation, users can download the result as a text file.
Precision Control: The result is displayed with up to 4 decimal places.

User Guide:

How to Use the Quadratic Equation Solver:

Enter Coefficients:
- In the first input field, enter the coefficient $a$ (the number in front of $x^2$ ).
- In the second input field, enter the coefficient $b$ (the number in front of $x$ ).
- In the third input field, enter the constant $c$ (the standalone number).
Solve the Equation:
- Click the Solve Equation button to calculate the roots of the quadratic equation. The solutions will appear in the output field.
Download the Result:
- After solving the equation, you can download the result by clicking the Download Result (PDF) button. The result will be saved as a text file named Quadratic_Equation_Solution.txt.

Example:

Input: $a = 1$ , $b = - 3$ , $c = 2$
Solution: $x_{1} = 2.0000$ , $x_{2} = 1.0000$

The quadratic equation $x^2 – 3x + 2 = 0$ has two real solutions: $x_{1} = 2$ and $x_{2} = 1$ . You can download this result as a text file for your records.