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Emptypockets451
17.09.2021 •
Mathematics
(x^4-x^2-6)\div (x^2+8) need help
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Ответ:
|F| is 27, the whole F is "listed" below.
Step-by-step explanation:
The set of possible denominators is the numbers from 2 to 9. Each of them produces a single fraction for each numerator that's coprime to it.
Let's list those for each:
2: 1
3: 1 2
4: 1 3 (2 is not coprime)
5: 1 2 3 4
6: 1 5 (2 3 and 4 are not coprime)
7: 1 2 3 4 5 6
8: 1 3 5 7
9: 1 2 4 5 7 8 (3 and 6 are not coprime)
To make any number from F, just take the denominator from the rows and the numerator from the list. The size of F is 1 + 2 + 2 + 4 + 2 + 6 + 4 + 6 = 27