we have
[tex]16k^2-1=24[/tex]step 1
Adds 1 both sides
[tex]\begin{gathered} 16k^2-1+1=24+1 \\ 16k^2=25 \end{gathered}[/tex]step 2
Divide by 16 both sides
[tex]\begin{gathered} \frac{16}{16}k^2=\frac{25}{16} \\ \text{simplify} \\ k^2=\frac{25}{16} \end{gathered}[/tex]step 3
Applying square root both sides
[tex]k=\pm\frac{5}{4}[/tex]