Quadratic Equation Solver: Solve Any Quadratic Equation with Ease

Lovejeet Singh

January 20, 2025

Quadratic Equation Solver

Find the roots of the equation $ ax^2 + bx + c = 0 $

The "Quadratic Equation Solver" tool is designed to solve quadratic equations of the form:

ax^2 + bx + c = 0

Here’s a review and a guide on how to use its features effectively:

Input Coefficients:
Users can input the values of
$a$ $b$ $c$
Solution Methods:
- Exact Solutions: Uses the quadratic formula to calculate the roots, including real and complex numbers.
- Graphical Representation: Displays a graph of the quadratic equation, showing the parabola and its intersections with the x-axis (if any).
- Step-by-Step Solution: Provides detailed steps for solving the equation.
Discriminant Analysis:
Indicates the nature of the roots (real, repeated, or complex) based on the discriminant (
$b^2 - 4ac$
Multiple Formats:
Outputs results in decimal and fraction forms for precision.
User-Friendly Interface:
Simple and intuitive design for easy navigation and quick calculations.

Enter Coefficients:
Input the values of
$a$ $a,$ $b$ $b, and$ $c$ $c into the provided fields. For example:$
- $a = 1$
- $b = -3$
- $c = 2$
Solve the Equation:
Click the "Solve" button. The tool will:
- Calculate the discriminant (
  $b^2 - 4ac$
- Compute the roots using the quadratic formula:
  $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
View Results:
- Roots: Displays the solutions for
  $x$
- Graph: Shows a plot of the quadratic function.
- Steps: Explains the solving process for better understanding.
Analyze the Discriminant:
- $b^2 - 4ac > 0$
- $b^2 - 4ac = 0$
- $b^2 - 4ac < 0$
Export or Share:
Some tools may allow exporting results or sharing them as a PDF or image.

Quadratic Equation Solver