How to Apply Completing the Square Method?
Completing the Square Method i applied by following the steps added above. An example for the same is added below:
Take a look at the quadratic equation ax2 + bx + c = 0 (a not equal to 0).
By dividing everything by a, we get
x2 + (b/a)x + (c/a) = 0
This can alternatively be written as (b/2a)2 (by adding and subtracting)
[x + (b/2a)]2 – (b/2a)2 + (c/a) = 0
[x + (b/2a)]2 – [(b2 – 4ac)/4a2] = 0
[x + (b/2a)]2 = [(b2 – 4ac)/4a2]
If b2 – 4ac ≥ 0, then taking the square root, we gets
x + (b/2a) = ± √(b2 – 4ac)/ 2a
The quadratic formula is obtained by simplifying this further.
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