Question

By the Zero Product Property, if (2x - 1)(x - 5) = 0, then

Answer 1

`(2x-1)(x-5)=0`

Split into two equations:

`\begin{gathered} 2x-1=0_{\text{ }}(1) \\ x-5=0_{\text{ }}(2) \end{gathered}`

From (1) solve for x:

`\begin{gathered} 2x=1 \\ x=(1)/(2) \end{gathered}`

From (2) solve for x:

`x=5`

Answer:

x = 1/2 or x = 5