Completing the Square

What is the Method of Completing the Square?

The Method of Completing the Square is used for converting a quadratic expression of the form ax2 + bx + c to the vertex form a(x + m)2 + n.

What is the Formula to Complete the Square?

Completing the square is a method used to solve quadratic equations, convert quadratic expressions into a perfect square trinomial, or rewrite the equation in vertex form.

What is the Perfect Square Formula?

The two perfect squares formula in algebra are (a + b)2 and (a – b)2 and their value is:

  • (a + b)2 = a2 + b2 + 2ab
  • (a – b)2 = a2 + b2 – 2ab



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

Similar Reads

What is Completing the Square?

Completing the square is a mathematical technique used to solve quadratic equations, transform quadratic expressions, and understand the properties of quadratic functions. It involves rewriting a quadratic equation in the form of a perfect square trinomial, making it easier to solve and analyze....

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:...

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....

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....

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:...

Summary Formula

For any quadratic equation ax2 + bx + c = 0...

Completing the Square Formula Examples

Example 1: Find the roots of the quadratic equation of the x2 + 2x – 12 = 0 by using the method of completing the square....

Completing the Square Practice Questions

Q1. Complete the square for the quadratic expression x2 + 8x + 15....

FAQs on Completing the Square

What is the Method of Completing the Square?...