What is the solution set for the equation 4(3x-2)^2=36? Give explanation

Answer:

C

Step-by-step explanation:

So let's remember that solution set means the value of x when y=0. Knowing that, all we have to do is solve for x.

First we divide both sides by 4, leaving us with

(3x-2)^2=9

Then we can proceed to square root each side, leaving us with (keep in mind that -3^2 is also equal to 9!)

3x-2= +/- 3

And now we add two on each side, giving us

3x=5

and

3x=-1.

This means that we can safely select c as our answer.

And finally we can

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