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: $$-\frac{5}{8}\text{and}\frac{5}{8}$$

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: $$-\frac{5}{8},\frac{5}{8}$$