Točno
5. listopada 2014. 20:18 (9 godine, 9 mjeseci)
Prove that the fraction
![\dfrac{21n + 4}{14n + 3}](/media/m/5/c/d/5cd05aafd34947376563d713c798e591.png)
is irreducible for every natural number
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
.
%V0
Prove that the fraction $\dfrac{21n + 4}{14n + 3}$ is irreducible for every natural number $n$.
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Suppose the fraction its reducible by factor t where t is an integer.
So that means t | 21n+4 and also t | 14n+3. So t also divides 2*(21n+4)-3*(14n+3)=8-9=-1
So that means t=1 or t=-1. Thus the fraction is irreducible hence we are done.
%V0
Suppose the fraction its reducible by factor t where t is an integer.
So that means t | 21n+4 and also t | 14n+3. So t also divides 2*(21n+4)-3*(14n+3)=8-9=-1
So that means t=1 or t=-1. Thus the fraction is irreducible hence we are done.
5. listopada 2014. 21:09 | ikicic | Točno |