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Kacirabiha
@Kacirabiha
May 2019
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Bonjours, j’ai une difficulté sur cette question: Déterminer deux nombres entiers consécutifs dont la différence des carrés est égal à 357. Justifier. Merci d’avoir une réponse.
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calinizou
Verified answer
Bonjour
(n+1)²-n²=357
n²+2n+1-n²=357
2n+1=357
2n=357-1
2n=356
n=356/2=178
donc les nombres 178 et 179
179²=32041
178²=31684
et 32041-31684=357
1 votes
Thanks 2
ch0u
Les deux nombres entiers consécutifs sont 178 et 179. Donc 179²-178²=357
1 votes
Thanks 0
ch0u
:)
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Verified answer
Bonjour(n+1)²-n²=357
n²+2n+1-n²=357
2n+1=357
2n=357-1
2n=356
n=356/2=178
donc les nombres 178 et 179
179²=32041
178²=31684
et 32041-31684=357