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Estellebl0059
@Estellebl0059
May 2019
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Bonjour, besoin d'aide
Déterminer trois entiers consécutifs tels que la différence entre le carré du plus grand et le produit des deux autres soit égale à 2017
.Merci
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Bonjour
soit les entiers n , n + 1 et n + 2
(n + 2)² - n ( n +1) = 2017
n² + 4 n + 4 - n² - n = 2017
3 n + 4 = 2017
3 n = 2017 - 4
3 n = 2013
n = 671
671 , 672 et 673
1 votes
Thanks 2
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soit les entiers n , n + 1 et n + 2
(n + 2)² - n ( n +1) = 2017
n² + 4 n + 4 - n² - n = 2017
3 n + 4 = 2017
3 n = 2017 - 4
3 n = 2013
n = 671
671 , 672 et 673