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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 65 (page 1181)

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
$x^{2} - 9 x$

Short Answer

Expert verified

The result is ${(x - \frac{9}{2})}^{2}$ .

Step by step solution

01

Given Information.

The Given expression is $x^{2} - 9 x$ .

02

Identify b ,the coefficient of term having power one.

$x^{2} - 9 x$

The coefficient of $x$ is $- 9$ .

So, $b = - 9$

03

Find 12b2.

Substitute $b = - 9$ .

$= {(\frac{1}{2} (- 9))}^{2} = {(\frac{- 9}{2})}^{2} = \frac{81}{4}$

04

Add 814to binomial expression to complete the square.

$x^{2} - 9 x + \frac{81}{4}$

Rewrite as a binomial square.

${(x - \frac{9}{2})}^{2}$ .

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