Question

Solve x^2 = 25/64. Enter the lesser number first, leave the answers in simplest fraction form.

Answer 1

To solve the equation \( x^2 = \frac{25}{64} \), we need to take the square root of both sides.

Taking the square root, we get:

\[
x = \pm \sqrt{\frac{25}{64}}
\]

We can simplify this as follows:

\[
x = \pm \frac{\sqrt{25}}{\sqrt{64}} = \pm \frac{5}{8}
\]

Thus, the two solutions are:

\[
x = \frac{5}{8} \quad \text{and} \quad x = -\frac{5}{8}
\]

Now, arranging the answers in order and leaving the answers in simplest fraction form, we have:

\[
-\frac{5}{8}, \frac{5}{8}
\]

So the final answer is:

\[
-\frac{5}{8}, \frac{5}{8}
\]