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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 9: Q. 429 (page 1109)

In the following exercises, solve.
$\sqrt{9 p + 9} = \sqrt{10 p - 6}$

Short Answer

Expert verified

The solution is $15$

Step by step solution

01

Step 1. Given information

The given information is $\sqrt{9 p + 9} = \sqrt{10 p - 6}$

02

Step 2. Squaring on both sides

$\sqrt{9 p + 9} = \sqrt{10 p - 6} s q u a r i n g o n b o t h s i d e s {(\sqrt{9 p + 9})}^{2} = {(\sqrt{10 p - 6})}^{2} 9 p + 9 = 10 p - 6 - p = - 15 p = 15$

The solution is $15$

03

Step 3. The solution

The solution is $15$

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