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Zozodu541
@Zozodu541
May 2019
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Bonjour quelqu'un pourrait m'aidez svp
soit n un nombre entier. On pose: U= 7n2-9n+5 et V =3n2-n+5
1- vérifier que U+V est divisible par 10 lorsque n= 12 ou que n=13
2-(a) Réduire U+V
(b) mettre 10 en facteur dans U+V
(c) que peut on penser du résultat obtenu a la question 1?
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AhYan
Verified answer
Bonsoir,
On a :
U = 7n²-9n+5 et V =3n²-n+5
1- n = 12
U(12) = 7×12²-9×12+5 = 905
V(12) = 3×12²-12+5 = 425
U(12)+V(12) = 905 + 425 = 1330
1330/10 = 133
Faire la même methode pour U(13)+V(13)
2-(a) U+V = 7n²-9n+5 + 3n²-n+5 = 10n²-10n+10
(b) U+V = 10n²-10n+10 = 10(n²-n+1)
(c) Tous les résultats de U+V sont divisibles par 10.
Bonne soirée !
1 votes
Thanks 3
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Lista de comentários
Verified answer
Bonsoir,On a :
U = 7n²-9n+5 et V =3n²-n+5
1- n = 12
U(12) = 7×12²-9×12+5 = 905
V(12) = 3×12²-12+5 = 425
U(12)+V(12) = 905 + 425 = 1330
1330/10 = 133
Faire la même methode pour U(13)+V(13)
2-(a) U+V = 7n²-9n+5 + 3n²-n+5 = 10n²-10n+10
(b) U+V = 10n²-10n+10 = 10(n²-n+1)
(c) Tous les résultats de U+V sont divisibles par 10.
Bonne soirée !