# Describe the process of completing the square. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 16RCC
To determine

## Describe the process of completing the square.

Expert Solution

(xb2a)2=ca+(b2a)2

### Explanation of Solution

Given information:

Describe the process of completing the square.

Calculation:

First method to solving a quadratic equation by completing the square method is,

The general form of quadratic equation is;

ax2+bx+c=0

1. Divide both sides of equation by the coefficient of x2 to make coefficient of x2 equal to one.
2.   ax2a+bxa+ca=0ax2+bxa+ca=0

3. Now subtract ca from both sides.
4.   x2+bxa+caca=0cax2+bxa=ca

5. Now add (b2a)2 to left side and (b2a)2 to right side of the equation.
6.   x2+bxa+(b2a)2=ca+(b2a)2

We are now able to factorise the left hand side of the equation.

(xb2a)2=ca+(b2a)2

Hence, this solves the x variable.

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