Question

Solve by factoring100=25w^2

Answer 1

`(w-2)(w+2)=0`

Step-by-step explanation:

We were given that:

`100=25w^2`

We will simplify it as shown below:

`\begin{gathered} 100=25w^2 \\ \Rightarrow25w^2=100 \\ \text{Divide both sides by ''25'', we have:} \\ w^2=(100)/(25) \\ w^2=4 \\ \text{Subtract ''4'' from both sides, we have:} \\ w^2-4=0 \\ \text{Using the difference of 2 squares, we have:} \\ (w-2)(w+2)=0 \end{gathered}`