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

$\begin{gathered} \frac{16}{16}k^2=\frac{25}{16} \\ \text{simplify} \\ k^2=\frac{25}{16} \end{gathered}$

step 3

Applying square root both sides

$k=\pm\frac{5}{4}$