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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 57 (page 1181)

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
$a^{2} + 10 a$

Short Answer

Expert verified

The result is $(a + 5)^{2}$ .

Step by step solution

01

Given Information.

The Given expression is $a^{2} + 10 a$ .

02

Identify b, the coefficient of term having power one.

$a^{2} + 10 a$

The coefficient of $a$ is $10$ .

Therefore, $b = 10$ .

03

Find 12b2.

Since $b = 10$

$= {(\frac{1}{2} 脳 10)}^{2}$

$= {(5)}^{2} = 25$

04

Add 12b2to binomial expression to complete the square.

Since ${(\frac{1}{2} b)}^{2} = 25$

Therefore, $a^{2} + 10 a + 25$

Rewrite as a binomial square.

$(a + 5)^{2}$ .

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Most popular questions from this chapter

A man throws a ball into the air with a velocity of $96 f e e t / s e c$ .Use the formula $h = - 16 t^{2} + v_{0} t$ to determine when the height of the ball will be 48 feet . Round to the nearest tenth of a second.

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$9 y^{2} + 12 y + 4 = 9$

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${(r - \frac{1}{2})}^{2} = \frac{3}{4}$

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