Answer
[tex]q=\operatorname{\pm}\frac{5}{12}[/tex]Explanation
Given
[tex]144q^2=25[/tex]To solve for q, we have to divide both equations over 144:
[tex]\frac{144q^2}{144}=\frac{25}{144}[/tex][tex]q^2=\frac{25}{144}[/tex]Finally, calculating the square roots from both sides:
[tex]\sqrt{q^2}=\frac{\sqrt{25}}{\sqrt{144}}[/tex][tex]q=\pm\frac{5}{12}[/tex]
