Verified Answer :

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

\(9x^2-16=0\)

\(9x^2-16:\)

\(9x^2-16=(3x+4)(3x-4)\)

\((3x+4)(3x-4) :\)

Using the zero  factor participle:

Solve: \((3x+4) = 0 : x = - \frac{4}{3}\)

\((3x-4) = 0 : x = \frac{4}{3}\)

The final  solutions  to the quadratic equation are:

\(x= -\frac{4}{3}\) and \(x = \frac{4}{3}\)

hope this helps!

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