Chapter 8.2, Problem 52HP

To determine

To find: The correct way of solving the equation $2m^2=4m$ .

Answer to Problem 52HP

The required value of m is $2,0$ and Rachel is correct.

Explanation of Solution

Given information:

The given equation is

  $2m^2=4m$

The solutions of Hermando and Rachel are:

Consider the given equation of height as $2m^2=4m$

Solve the above equation to find the value of m .

  $\begin{array}{l}2m^2=4m\\ 2m^2-4m=0\\ 2m\left(m-2\right)=0\end{array}$

In the above equation,

  $\begin{array}{c}2m=0\\ m=0\end{array}$ or

  $\begin{array}{c}\left(m-2\right)=0\\ m=2\end{array}$

From the above solution, it is seen that Rachel is correct

Hence, the required value of m is $2,0$ and Rachel is correct.