Complete the Square Calculator
Welcome to the Complete the Square Calculator! This tool is designed to help you solve quadratic equations easily using the method of completing the square. If you’re studying algebra or just need to solve a quadratic equation, this calculator is a quick and efficient way to find the roots of a quadratic equation in the form of ax² + bx + c = 0.
What is Complete the Square?
Complete the square is a method used to solve quadratic equations by converting them into perfect squares. It involves manipulating the equation in such a way that the left-hand side can be factored into a binomial squared, making it easier to solve for the values of x (the roots of the equation).
Calculator
How Does the Complete the Square Calculator Work?
The Complete the Square Calculator simplifies the process of completing the square manually by automatically transforming the equation into its factored form. Simply input the coefficients of your quadratic equation, and the calculator will walk you through the steps to find the solution.
Example
Consider the quadratic equation: x² + 6x - 7 = 0. Using the complete the square method, we can rewrite the equation as:
- First, move the constant term to the other side: x² + 6x = 7
- Next, take half of the coefficient of x (which is 6), square it to get 9, and add it to both sides: x² + 6x + 9 = 7 + 9
- Now the equation becomes a perfect square: (x + 3)² = 16
- Finally, take the square root of both sides: x + 3 = ±4
- Solving for x gives: x = 1 or x = -7
Why Use Our Complete the Square Calculator?
Our Complete the Square Calculator offers several advantages:
- It saves time and eliminates the complexity of manual calculations.
- It shows the step-by-step solution, helping you understand the process.
- It’s perfect for students, teachers, and anyone needing to solve quadratic equations efficiently.
How to Use the Calculator
To use the Complete the Square Calculator, simply input the values of a, b, and c in the quadratic equation ax² + bx + c = 0. Click "Solve" and get the step-by-step solution instantly!
Try it out now and solve your quadratic equations with ease!