Find the largest integer $x$ such that
\[\sqrt{3620 + 322x - 4x^2}\]is a real number.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the largest integer $x$ such that
\[\sqrt{3620 + 322x - 4x^2}\]is a real number.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
90
Find the largest integer $x$ such that
\[\sqrt{3620 + 322x - 4x^2}\]is a real number.
train