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:

$$x=\frac{4}{5}\text{and}x=-\frac{4}{5}$$

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:

$$-\frac{4}{5},\frac{4}{5}$$