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
https://web2.0calc.com/questions/plss-helpp-meee-i-need-answer-with-the-hour pls helpp me
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)