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koshovan
@koshovan
October 2021
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Разность кубов двух последовательных натуральных чисел равна 331. Назовите меньшее число.
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tanyacool
Verified answer
N- первое число (n+1)- второе число
(n+1)³-n³=331
n³+3n²+3n+1-n³=331
3n²+3n=330
3(n²+n)=330
n²+n=110
n=10
6 votes
Thanks 10
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Answers & Comments
Verified answer
N- первое число (n+1)- второе число(n+1)³-n³=331
n³+3n²+3n+1-n³=331
3n²+3n=330
3(n²+n)=330
n²+n=110
n=10