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Moved from a technical forum, so homework template missing

Hi all!

I should solve the following equation involving the ceil or floor function:

[tex]

x \cdot \lceil x \cdot \lceil x \rceil \rceil = 82

[/tex]

I have found just one solution 41/9, but I have no idea about how finding the other solutions.

Thanks you in advance!

I should solve the following equation involving the ceil or floor function:

[tex]

x \cdot \lceil x \cdot \lceil x \rceil \rceil = 82

[/tex]

I have found just one solution 41/9, but I have no idea about how finding the other solutions.

Thanks you in advance!