Question

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

Short answer

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.

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