Find the positive value of $x$ for which
\[\sqrt{\cfrac{x}{1 + \sqrt{\cfrac{x}{1 + \sqrt{\cfrac{x}{1 + \cdots}}}}}} = 8.\]
Question:
Find the positive value of $x$ for which
\[\sqrt{\cfrac{x}{1 + \sqrt{\cfrac{x}{1 + \sqrt{\cfrac{x}{1 + \cdots}}}}}} = 8.\]
Answer:
Let's think step by step.

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Find the positive value of $x$ for which
\[\sqrt{\cfrac{x}{1 + \sqrt{\cfrac{x}{1 + \sqrt{\cfrac{x}{1 + \cdots}}}}}} = 8.\]
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