The Quadratic Equation Calculator is a tool designed to solve equations of the form ax² + bx + c = 0. It provides the roots of the equation, which are the values of x that satisfy the equation.

Quadratic Equation Solver

Solve quadratic equations by inputting coefficients for ax² + bx + c = 0.

How to Use the Calculator

  1. Input Coefficients: Enter the values for a, b, and c from your quadratic equation.
  2. Solve Equation: Click the button to calculate the roots of the equation.
  3. View Solution: Read the results displayed under the button, indicating the solutions or stating if there are no real solutions.
Online Quadratic Equation Solver

What if a quadratic equation was a living being?

Formula Used

The calculator uses the standard quadratic formula:

x = [-b ± sqrt(b² - 4ac)] / 2a

Three Examples

  1. For 1x² + 5x + 6 = 0: The solutions are x1 = -2 and x2 = -3.
  2. For 2x² – 4x – 6 = 0: The solutions are x1 = 3 and x2 = -1.
  3. For x² + 4x + 5 = 0: There are no real solutions as the discriminant is negative.

Additional Information

Ensure inputs are correct and in the proper format for accurate results. This calculator simplifies the process of finding roots for quadratic equations, which is fundamental in various fields of mathematics, physics, engineering, and beyond. It’s a reliable tool for students, teachers, and professionals needing quick solutions to quadratic problems.