# Rewrite by completing the square. (a) x 2 + x + 1 (b) 2 x 2 − 12 x + 11

### Single Variable Calculus

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781305266636

### Single Variable Calculus

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781305266636

Chapter
Section
Textbook Problem
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## Rewrite by completing the square. (a) x2 + x + 1 (b) 2x2 − 12x + 11

Expert Solution

(a)

To determine

To rewrite: The expression x2+x+1 by the method of completing square.

### Explanation of Solution

Consider the expression x2+x+1.

Simplify the above expression as follows,

x2+x+1=x2+2×x×(12)+(12)2(12)2+1=(x+12)214+1

Expert Solution

(b)

To determine

To rewrite: The expression 2x212x+11 by the method of completing square.

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