Solve x^2=25/64 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 \( x^2 = \frac{25}{64} \) by inspection, we can take the square root of both sides.

1. Taking the square root gives us: \[ x = \pm \sqrt{\frac{25}{64}} \]

2. We can simplify the square root: \[ x = \pm \frac{\sqrt{25}}{\sqrt{64}} = \pm \frac{5}{8} \]

Thus, the two real solutions are: \[ -\frac{5}{8} \quad \text{and} \quad \frac{5}{8} \]

In simplest fraction form, the solutions are: \[ -\frac{5}{8}, \frac{5}{8} \]

The lesser number is \( -\frac{5}{8} \), so we can write the final answer as: \[ -\frac{5}{8}, \frac{5}{8} \]