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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 10: Q 68 (page 1181)

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
$q^{2} + \frac{3}{4} q$ .

Short Answer

Expert verified

The result is ${(q + \frac{3}{8})}^{2}$ .

Step by step solution

01

Given Information.

The Given expression is $q^{2} + \frac{3}{4} q$ .

02

Identify b ,the coefficient of term having power one.

$q^{2} + \frac{3}{4} q$

The coefficient of $q$ is $\frac{3}{4}$ .

So, $b = \frac{3}{4}$ .

03

Find 12b2.

Substitute $b = \frac{3}{4}$ .

$= {(\frac{1}{2} 脳 \frac{3}{4})}^{2} = {(\frac{3}{8})}^{2} = \frac{9}{64}$

04

Add 964to binomial expression to complete the square.

$q^{2} + \frac{3}{4} q + \frac{9}{64}$

Rewrite as a binomial square.

${(q + \frac{3}{8})}^{2}$

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