## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 2 - Equations, Inequalities, and Problem Solving - 2.3 Formulas - 2.3 Exercise Set: 25

#### Answer

$c^2=\dfrac{E}{m}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given equation, $E=mc^2$ for $c^2 ,$ use the properties of equality to isolate the variable. $\bf{\text{Solution Details:}}$ Using the properties of equality to isolate the variable, the equation above is equivalent to \begin{array}{l}\require{cancel} E=mc^2 \\\\ \dfrac{E}{m}=\dfrac{mc^2}{m} \\\\ \dfrac{E}{m}=c^2 \\\\ c^2=\dfrac{E}{m} .\end{array}

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