Question

How many solutions does the equation have?41 pl = 0

Answer 1

We want to know how many solution the equation below has;

`4|p|=0`

Firstly, divide both side by 4, we have;

`\begin{gathered} (4|p|)/(4)=(0)/(4) \\ |p|=0 \end{gathered}`

Recall that ;

`|p|=\pm p`

So;

`\begin{gathered} \pm p=0 \\ p=\pm0 \\ p=0 \end{gathered}`

Therefore, the equation has only one solution, which is;

`p=0`