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GeniulTau
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Aratati ca, pentru orice nr intreg x, numarul x²+9x+20 este egal cu produsul a doua numere intregi consecutive.

Răspuns :

x∧2+9x+20=x∧2+4x+5x+20=x(x+4)+5(x+4)=(x+4)(x+5)=(x+4)[(x+4)+1]
deci oricare ar fi x se poate scrie ca produsul a doua numere consecutive

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