Question

Solve by factoring1/4b^2=16

Answer 1

Given:

$\frac{1}{4}b^2=16$

is given.

Required:

We need to solve the equation by factoring.

Explanation:

$\frac{1}{4}b^{2}=16$

now add both side negative 16

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

further simplify as:

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

Final answer:

b=8 or b=-8