Solve x^2=16/25 by inspection. There are two real solutions. Enter the lesser number first. Leave the answers in simplest fraction form

Answer 1

To solve the equation \( x^2 = \frac{16}{25} \) by inspection, we can take the square root of both sides.

1. Taking the square root, we have:

\[ x = \pm \sqrt{\frac{16}{25}} \]

2. Simplifying the square root, we find:

\[ \sqrt{\frac{16}{25}} = \frac{\sqrt{16}}{\sqrt{25}} = \frac{4}{5} \]

3. Therefore, the solutions are:

\[ x = \frac{4}{5} \quad \text{and} \quad x = -\frac{4}{5} \]

4. To list the solutions in order, we put the lesser number first:

\[ -\frac{4}{5}, \frac{4}{5} \]

Thus, the two real solutions are:

\[ -\frac{4}{5}, \frac{4}{5} \]