Question

solve \\(x^2 = \frac{9}{144}\\).

(write your answer as a fraction.)

\\(x =\\)

and

\\(x =\\)

Explanation:

Simplify the fraction

$$ x^2 = \frac{9}{144} = \frac{1}{16} $$

Apply the square root property

$$ x = \pm\sqrt{\frac{1}{16}} $$

Solve for x

$$ x = \frac{1}{4} \quad \text{and} \quad x = -\frac{1}{4} $$

Answer:

Solve \(x^2 = \frac{9}{144}\).

(Write your answer as a fraction.)

\(x =\) <blank>\(\frac{1}{4}\)</blank>

and

\(x =\) <blank>\(-\frac{1}{4}\)</blank>