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Mew78
@Mew78
May 2019
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2nombres a et b ont 12 comme diviseurs commun.leur produit=8640 determiner les valeurs possibles de a et b
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trudelmichel
Verified answer
Bonjour,
si a et b ont 12 comme diviseur commun
alors
a=12x
b=12 y
(12x)(12y)=8640
144xy=8640
xy=8640/144
xy=60
60=2*2*3*5
x=2 y=2*3*5=30
a=24 b= 360
x=3 y=20
a=36 b=240
x=4 y=15
a=48 b=180
x=6 y=10
a=72 b= 120
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Trouver tous les entiers naturels tels que ( a puissance n)puissance m)=4096
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Verified answer
Bonjour,si a et b ont 12 comme diviseur commun
alors
a=12x
b=12 y
(12x)(12y)=8640
144xy=8640
xy=8640/144
xy=60
60=2*2*3*5
x=2 y=2*3*5=30
a=24 b= 360
x=3 y=20
a=36 b=240
x=4 y=15
a=48 b=180
x=6 y=10
a=72 b= 120