To solve the equation \( x^2 = \frac{25}{64} \) by inspection, we need to find the values of \( x \) that satisfy this equation.
We can rewrite the equation as:
\[ x = \pm \sqrt{\frac{25}{64}} \]
Calculating the square root:
\[ \sqrt{\frac{25}{64}} = \frac{\sqrt{25}}{\sqrt{64}} = \frac{5}{8} \]
This gives us two solutions:
\[ x = \frac{5}{8} \quad \text{and} \quad x = -\frac{5}{8} \]
Thus, the two real solutions, with the lesser number first, are:
\[ -\frac{5}{8}, \frac{5}{8} \]
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