Find the largest integer $x$ such that
\[\sqrt{3620 + 322x - 4x^2}\]is a real number.
Question:
Find the largest integer $x$ such that
\[\sqrt{3620 + 322x - 4x^2}\]is a real number.
Answer:
Let's think step by step.

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Find the largest integer $x$ such that
\[\sqrt{3620 + 322x - 4x^2}\]is a real number.
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