Summary Formula
For any quadratic equation ax2 + bx + c = 0
Rewrite the Quadratic Equation:
- x2 + b/ax + (b/2a)2 = -c/a + (b/2a)2
Express as a Perfect Square:
- (x + b/2a)2 = (b/2a)2 – c/a
Solve for x:
- x = -b/2a ± √{(b/2a)2 – c/a}
This method simplifies the process of solving quadratic equation.
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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