Completing the Square Method
For the given quadratic equation ax2 + bx + c = 0 and to solve the quadratic equation using complete the square method follow the steps:
Step 1: Start with the Standard Form
Step 2: Move the Constant Term
Step 3: Divide by a
Step 4: Find the Number to Complete the Square
Step 5: Rewrite as a Perfect Square
Step 6: Solve for x
For example, factorise x2 + 2x – 3 = 0 using all the steps added above.
⇒ x2 + 2x = 3
⇒ x2 + 2x + (1)2 = 3 + (1)2
⇒ (x + 1)2 = 4
⇒ x + 1 = ± 2
⇒ x = ± 2 – 1
⇒ x = 1, -3
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