Question

Solve the quadratic equation using factoring 9x2 - 16 = 0.

Answer 1

`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 = - (4)/(3)`


`(3x-4) = 0 : x = (4)/(3)`

The final solutions to the quadratic equation are:


`x= -(4)/(3)` and
`x = (4)/(3)`

hope this helps!

Answer 2

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.