Completing the Square Formula
Completing the square formula is a methodology or procedure for finding the roots of specified quadratic equations, such as ax2 + bx + c = 0, where a, b, and c are all real values except a.
ax2 + bx + c
Formula for completing the square is: ax2 + bx + c ⇒ a(x + m)2 + n,
Instead of a lengthy step-by-step approach, we can use the following simple formula to build the square. Find the following to complete the square in ax2 + bx + c:
- n = c – (b2/4a)
- m = b/2a
Values substituted in ax2 + bx + c = a(x + m)2 + n. These formulas are geometrically developed.
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