Solve x^2 = 25/64 by inspection. There are two real solutions. Enter the lesser number first. Leave the answers in simplest fraction form.

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1 answer

To solve the equation x^2 = 25/64 by inspection, we can rearrange the equation to find the square roots of both sides:

x = ±√(25/64)

Simplifying the square root:

x = ±(5/8)

Therefore, the two real solutions are -5/8 and 5/8, and the lesser number is -5/8. So the answer is {-5/8, 5/8}.