Question

What is the solution set of 4x^2-36= 0?

(-3)
(3)
(-3,3)

Answer 1

(-3, 3).

Explanation:

4x^2-36= 0

4x^2 = 36 Taking square roots of both sides:

2x = +/- 6

x = +/- 3.

Answer 2

(-3, 3)

Explanation:

The equation is:

`4x^2-36=0`

to clear for x, first we move the -36 to the right as a +36 (or you can also say that we add 36 to both sides):

`4x^2=36`

dividing by 4:

`x^2=36/4\\x^2=9`

taking the square root:

`x=` ±
`√(9)`

we add the ± because a square root has two solutions, a positive one, and a negative one.

Then we get:

`x=` ± 3

The solutions are -3 and +3

which is represented in the option (-3, 3)