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05amilin
@05amilin
June 2022
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Найдите ab, если a³+b³=133 a+b=7
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Fixytup
A³+b³=(a+b)(a²-ab+b²)
7(a
²-ab+b²)=133
a
²-ab+b²=133/7
a
²-ab+b²=19
a
²+b²=
19+ab
a+b=7
(a+b)
²=49
a²+2ab+b²=49
a²+b²=
49-2ab
19+ab=49-2ab
3ab=30
ab=30/3
ab=10
1 votes
Thanks 2
05amilin
спасибо
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Answers & Comments
7(a²-ab+b²)=133
a²-ab+b²=133/7
a²-ab+b²=19
a²+b²=19+ab
a+b=7
(a+b)²=49
a²+2ab+b²=49
a²+b²=49-2ab
19+ab=49-2ab
3ab=30
ab=30/3
ab=10