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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 6.91 (page 1069)

Solve $25 p^{2} = 49$ $25 p^{2} = 49$

Short Answer

Expert verified

The value is $p = 卤 \frac{7}{5}$

Step by step solution

01

Given information

Given the equation, $25 p^{2} = 49$

02

Writing in standard form

Writing in standard form, we get

$25 p^{2} - 49 = 0 (5 p - 7) (5 p + 7) = 0 p = \frac{7}{5}, - \frac{7}{5}$

03

Checking the values

Checking the values, we get

$25 {(\frac{7}{5})}^{2} = 49 25 脳 \frac{49}{25} = 49 49 = 49$

04

Checking another value

Checking the value, we get

$25 {(\frac{- 7}{5})}^{2} = 49 25 脳 \frac{49}{25} = 49 49 = 49$

This is true

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