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» Gallery » Logical puzzles 111110100010101100Důkaz - difficulty 4.2 (former difficulty 2)
Důkaz, že 2 = 1:
a = b a2 = ab a2 - b2 = ab-b2 (a-b)(a+b) = b(a-b) a+b = b b+b = b 2b = b 2 = 1 Kde je v tomto důkazu chyba? Chybný je samozřejmě krok: (a-b)(a+b) = b(a-b) a+b = b Dělí se tam totiž nulou (a-b)=0 |
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