Completing the Square Steps
Lets assume the quadratic equation is as ax2 + bx + c = 0. Follow the steps to solve it using the completing the square approach.
Step 1: Form the equation in such a way that c is on the right side.
Step 2 : Divide the entire equation by an if an is not equal to 1, such that the coefficient of x2 equals 1.
Step 3 : On both sides, add the square of half of the term-x coefficient, (b/2a)2.
Step 4 : Factor the left side of the equation as the binomial term’s square.
Step 5: On both sides, take the square root.
Step 6 : Find the roots by solving for variable x.
Following these steps one can easily solve quadratic equation by completing sqaure method.
Note: Sometime while using completing the square method one might encounter (-1) inside the roots and in that case the roots of the quadratic equation are complex.
Completing the Square: Method, Formula and Examples
Completing the square is a method used to solve quadratic equations and to rewrite quadratic expressions in a different form. It helps us to find the solutions of the equation and to understand the properties of a quadratic function, such as its vertex.
In this article, we will learn about, Completing the Square Methods, Completing the Square Formula, Completing the Square Examples and others in detail.
Table of Content
- What is Completing the Square?
- Completing the Square Method
- Completing the Square Formula
- Completing the Square Steps
- How to Apply Completing the Square Method?
- Completing the Square Formula Examples
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