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:

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

Calculating the square root gives:

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

Thus, the two real solutions are:

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

According to the instruction to enter the lesser number first, the final answers are:

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