# Solve the equations by 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 1.5, Problem 55E
To determine

## Solve the equations by completing the square.

Expert Solution

x=61,61

### Explanation of Solution

Given information:

x2+2x5=0

Formula used:

Completing the square method:- In this method solution are solved by completing the square, For this, firstly the coefficient of first term is made 1, then the square of half of coefficient second term is added and subtracted.

Calculation:

x2+2x5=0

x2+2x5=0(x2+2x+1)15=0(x+1)2=6

Taking root both the side

x+1=±6x=±61x=61,61

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