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Determina numerele a,b , daca (a,b)=8 si a • (ori) b=768.

Răspuns :

a·b=768;
⇒a=8x;
⇒b=8y;
⇒8x·8y=768
⇒8·8·x·y=768⇒x·y=768/64⇒x·y=8;
⇒x·y=8⇒x,y∈[[1,8],[2,4],[4,2],[8,1];
⇒a,b∈[[8,64],[16,32],[32,16],[64,8]];