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Rainbow1994styles
a fost răspuns

Va rog!!
Dau coroana!!!

Va Rog Dau Coroana class=

Răspuns :

XDeDee
(a,b)=7=>a=7x,b=7y
(x,y)=1
a•b=294 =>7x•7y=294 |•49
x•y=294:49=6
x•y=6=>
a.y=1 ,x=6=>a=7•6=42,b=7•1=7=>1. (42,7)
b.y=2,x=3=>a=7•3=21,b=7•2=14=>2.(21,14)
c.y=3,x=2=>a=7•2=14,b=7•3=21=>3.(14,21)
d.y=6,x=1=>a=7•1=7,b=7•6=42=>4.(7,42)
Deci, cele 4 perechi sunt (42,7),(21,14),(14,21),(7,42)
Albatran
OBS
 ester ALT tip de exercitiu decat cel rezolbvat la modelulde la pct a)



a=7m
b=7n unde m, n∈N si
(m,n)=1 adica m si n prime intre ele

ab=7m*7n=49mn=294
mn=294:49
mn=6=1*6=2*3=3*2=6*1
toate perechile convin , toate sunt de numere prime intre ele

m=1...a=1*7=7
n=6....b=6*7=42

m=2.....a=14
n=3......b=21
  

m=3.........a=21
n=2..........b=14

m=6.........a=42
n=1..........b=7

Alte intrebari