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Give an example of a triple (a, b, c) of real numbers such thatabc[a][b][c] = 2021,
where [x] denotes the greatest integer less than or equal to x

 May 15, 2021
 #1
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https://web2.0calc.com/questions/plss-helpp-meee-i-need-answer-with-the-hour pls helpp me

 May 15, 2021
 #2
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2021 = 43*47

WLOG, let a >=b>=c.

[a][b][c] must be an integer, so we can set it equal to either 43 or 47

Since [a][b][c] is (usually) smaller than abc, let's set it to 43.

Since 43 is prime, [a] must be equal to 43, while [b] and [c] must both equal 1.

Also, keep in mind that abc has to multiply to 47.

One pretty obvious way for this system of equations to work is to set a equal to 43, set b equal to 47/43, and c equal to 1.

So one solution would be (43, 47/43, 1)

 May 16, 2021
 #3
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bruh what

Guest May 16, 2021

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