Točno
14. travnja 2012. 12:44 (12 godine, 10 mjeseci)
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imamo a, d=a+1, P=a+2, S=a+3;
kako bi P i S po vieteovim formulama bili cijeli brojevim vrijedi
b=am
c=an
sad uvrstimo
a, a^2(m^2-4n), n, -m
a=a, n=a+2, -m=a+3 uvrstimo u a^2(m^2-4n)
dobimo:
(a^3+a^2-1)(a+1)=0
1. a=-1
2. a^3+a^2-1=0; a^3+a^2=-1; a^2(a+1)=1; tj.:
a+1=+-1 a=0; a=-2 ako uvrstimo u a^2(a+1)=1 vidjet cemo da ova jednadžba nema cjelobrojnih rješenja.
znači, a=-1
n=1
-m=2; m=-2
d=a^2(4-4)=0
-1,0,1,2; i to su jedina rješenja
kako bi P i S po vieteovim formulama bili cijeli brojevim vrijedi
b=am
c=an
sad uvrstimo
a, a^2(m^2-4n), n, -m
a=a, n=a+2, -m=a+3 uvrstimo u a^2(m^2-4n)
dobimo:
(a^3+a^2-1)(a+1)=0
1. a=-1
2. a^3+a^2-1=0; a^3+a^2=-1; a^2(a+1)=1; tj.:
a+1=+-1 a=0; a=-2 ako uvrstimo u a^2(a+1)=1 vidjet cemo da ova jednadžba nema cjelobrojnih rješenja.
znači, a=-1
n=1
-m=2; m=-2
d=a^2(4-4)=0
-1,0,1,2; i to su jedina rješenja
Ocjene: (2)
Komentari:
grga, 14. travnja 2012. 17:55
Filip_Wee, 14. travnja 2012. 16:48
grga, 14. travnja 2012. 14:34
grga, 14. travnja 2012. 14:33
treba ti bit
cini mi se.
i.. kuzis da uvodis oznake
, i 
mozda bi bilo dobro da si na drzavnom napisat da se radi od jednadbi

pa onda jos provjerit kao dal je to zadovoljeno, za svaki slucaj
osim toga je tocno! :)
ponovo ti saljem tvoje rjesenje u latexu.
imamo
,
,
,
;
kako bi P i S po vieteovim formulama bili cijeli brojevim vrijedi


sad uvrstimo
,
,
, 
,
,
uvrstimo u 
dobimo:

1.
2.
;
;
; tj.:
;
ako uvrstimo u
vidjet cemo da ova jednadžba nema cjelobrojnih rješenja.
znači,

; 

,
,
,
; i to su jedina rješenja

i.. kuzis da uvodis oznake


mozda bi bilo dobro da si na drzavnom napisat da se radi od jednadbi

pa onda jos provjerit kao dal je to zadovoljeno, za svaki slucaj
osim toga je tocno! :)
ponovo ti saljem tvoje rjesenje u latexu.
imamo




kako bi P i S po vieteovim formulama bili cijeli brojevim vrijedi


sad uvrstimo








dobimo:

1.

2.







znači,








