Please solve: Show work

6x^2 = 36

6x^2 = 36

Divide both sides by 6

x^2 = 6
x = sqrt 6
x = 2.449

So would these be good answers?

x = root6 and -root6 ??? Thanks!

Yes.

Thank you!

You're welcome.

To solve the equation 6x^2 = 36 and find the value of x, we can follow these steps:

Step 1: Divide both sides of the equation by 6 to isolate the x^2 term:
(6x^2) / 6 = 36 / 6
x^2 = 6

Step 2: Take the square root of both sides of the equation to eliminate the square:
√(x^2) = √6
x = ±√6

Therefore, the solution to the equation 6x^2 = 36 is x = ±√6.