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Monday, 18 april 2011 |
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Suma minima |
Proposed by
lucipet |
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| (9 comments) | 5.790 times displayed |
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O solutie algebrica simpla este urmatoarea :
Daca notam cu \/x radical de ordin 2 din x, atunci
\/a + \/b = 13\/17
si fie a1 = 17 => \/17 + \/b = 13\/17 =>
\/b = 12\/17 => b = 2448 ,a2 = 2*\/17 etc.
Se obtine :
1 a= 17 b = 2448
2 a= 68 b = 2057
3 a= 153 b = 1700
4 a= 272 b = 1377
5 a= 425 b = 1088
6 a= 612 b = 833
7 a= 833 b = 612
8 a= 1088 b = 425
9 a= 1377 b = 272
10 a= 1700 b = 153
11 a= 2057 b = 68
12 a= 2448 b = 17 , cu min(a + b) = 612 + 833 = 1445 |
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Tags:
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Suma,
minima
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