Given that \[x^2 + \lfloor x \rfloor = 75,\]find all possible values for $x.$  Enter all solutions, separated by commas.
Question:
Given that \[x^2 + \lfloor x \rfloor = 75,\]find all possible values for $x.$  Enter all solutions, separated by commas.
Answer:
Let's think step by step.

user
\sqrt{67}, -\sqrt{85}
Given that \[x^2 + \lfloor x \rfloor = 75,\]find all possible values for $x.$  Enter all solutions, separated by commas.
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