Question

Solve by factoring1/4b^2=16

Answer 1

Given:

`(1)/(4)b^2=16`

is given.

Required:

We need to solve the equation by factoring.

Step-by-step explanation:

`(1)/(4)b^(2)=16`

now add both side negative 16

`\begin{gathered} (1)/(4)b^2-16=16-16 \\ \\ (1)/(4)b^2-16=0 \\ \\ ((1)/(2)b-4)((1)/(2)b+4)=0 \end{gathered}`

further simplify as:

`\begin{gathered} ((1)/(2)b+4)=0\text{ or \lparen}(1)/(2)-4)=0 \\ \\ b=-8 \\ or \\ b=8 \end{gathered}`

Final answer:

b=8 or b=-8