Question

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Determinati perechile de numere naturale (a,b) știind că 134 : a = b rest 4 .
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Answer 1

Răspuns:

134=ab+4

134-4=ab

130=ab

R < I=>a > 4

D₁₃₀∈{1,2,5,10,13,26,65,130}

a=5,13,26,65,130

b=134:5=26 rest 4

b=134:13= 10 rest 4

.

b=26,13,10,5,2,1

(a,b)=(5,26);(10,13);(13,10);(26,5);(65,2);(130,1)