Question

Solve by square roots: 16k^2-1=24

Answer 1

we have

`16k^2-1=24​`

step 1

Adds 1 both sides

`\begin{gathered} 16k^2-1+1=24​+1 \\ 16k^2=25 \end{gathered}`

step 2

Divide by 16 both sides

`\begin{gathered} (16)/(16)k^2=(25)/(16) \\ \text{simplify} \\ k^2=(25)/(16) \end{gathered}`

step 3

Applying square root both sides

`k=\pm(5)/(4)`