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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 247 (page 695)

Solve the rational equation $\frac{E}{c} = m^{2}$ for the variable c.

Short Answer

Expert verified

The required expression is $c = \frac{E}{m^{2}}$ .

Step by step solution

Given equation

The equation is given as $\frac{E}{c} = m^{2}$ for c.

Solve the equation

Apply the algebraic operations to find the required expression.

Multiply c and divide $m^{2}$ into both sides of the given equation.

$\begin{array}{rcl} \frac{E}{c} & = & m^{2} \\ \frac{E}{c \times m^{2}} \times c & = & \frac{m^{2}}{m^{2}} \times c \\ \frac{E}{m^{2}} & = & c \end{array}$

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Solve the rational equationEc=m2for the variable c.

Short Answer

Step by step solution

Given equation

Solve the equation

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Solve the rational equation $\frac{E}{c} = m^{2}$ for the variable c.