Question

Find the solution for x when x^2 = 9/25






.
Responses
A x =





x = 3 5
B x =





x = ( 3 5 ) 2
C x = ±





x = ± 3 5
D x =

Answer 1

To solve the equation \( x^2 = \frac{9}{25} \), we can take the square root of both sides.

1. Taking the square root gives us:
\[
x = \pm \sqrt{\frac{9}{25}}
\]

2. Now, calculate the square root:
\[
\sqrt{\frac{9}{25}} = \frac{\sqrt{9}}{\sqrt{25}} = \frac{3}{5}
\]

3. Therefore, the solutions for \( x \) are:
\[
x = \pm \frac{3}{5}
\]

So, the correct response is:

C. \( x = \pm \frac{3}{5} \)