Solve x2=25/64.

There are two real solutions. Enter the lesser number first.
Leave the answers in simplest fraction form.

1 answer

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

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

Calculating the square root, we have:

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

Thus, the two solutions for \( x \) are:

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

Now, we need to present the solutions, starting with the lesser number:

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

So the final answer is:

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