Respuesta :

DankSpideyMemes
This is an example of difference of two squares meaning both of these variables are perfect squares. So when you factor this out you get (3x-4)(3x+4). Then since there's an equal sign you have to solve it. So it'd be 3x=4 divide it by 3 and you get 4/3 and 3x=-4 divide again you get -4/3. Your two final answers are 4/3 and -4/3.
Willchemistry
[tex]9x^2-16=0[/tex]

[tex]9x^2-16:[/tex]

[tex]9x^2-16=(3x+4)(3x-4)[/tex]

[tex](3x+4)(3x-4) :[/tex]

Using the zero  factor participle:

Solve: [tex](3x+4) = 0 : x = - \frac{4}{3} [/tex]

[tex] (3x-4) = 0 : x = \frac{4}{3} [/tex]

The final  solutions  to the quadratic equation are:

[tex]x= -\frac{4}{3} [/tex] and [tex]x = \frac{4}{3} [/tex]

hope this helps!