Answer:
n= 5/3 or 1.67
Step-by-step explanation:
9n^2 -9 =16
9n^2 = 16 + 9
9n^2 = 25
n^2 =25/9
[tex]\sqrt{n^2} = \sqrt{\frac{25}{9} }[/tex]
[tex]~~~~~~9n^2 -9 = 16\\\\\implies 9(n^2 -1) = 16\\\\\implies n^2 -1 = \dfrac{16}9\\\\\implies n^2 = \dfrac{16}{9}+1\\\\\implies n^2 = \dfrac{25}{9}\\\\\implies n=\pm\sqrt{\dfrac{25}{9}}\\\\\implies n= \pm\dfrac 53\\\\\implies n = \pm1.67[/tex]
