solve x^2 = 25/64• there are two real solutions. enter the lesser number first. leave the answers in simplest fraction form.

Question

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Answer 1

To solve the equation \( x^2 = \frac{25}{64} \), we will take the square root of both sides.

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

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

Thus, the two real solutions are:

\[ -\frac{5}{8} \quad \text{and} \quad \frac{5}{8} \]

Listing the lesser solution first, we have:

\[ \left{ -\frac{5}{8}, \frac{5}{8} \right} \]