x^2 - 81 = 0

a) -square root 9 , square root 9

b) -81 , 81

c) -9 , 9 ~~ MY ANSWER ~~

d) no real solutions

one more:

3x^2 - 147 = 0

a) -47, 49

b) -7, 7 ~~MY ANSWER~~

c) -square root 7 , square root 7

both look ok.

Okay, Thanks!

To solve the equation x^2 - 81 = 0, we need to find the values of x that make the equation true.

First, we can rearrange the equation to isolate the x^2 term:
x^2 = 81

Next, to find the values of x, we can take the square root of both sides of the equation:
√(x^2) = √81

Simplifying further:
|x| = 9

Here, the absolute value of x is equal to 9. This means that x can be either positive or negative 9. Therefore, the correct answer is c) -9 , 9.