Question

Aratati ca daca a b c apartin lui N* si a-b supra c= b-c supra a = c-a supra 12 atunci a=b=c

Answer 1

Daca (a-b)/c=(b-c)/a=(c-a)/12=>[(a-b)+(b-c)+(c-a)]/(a+c+12)=0/(a+c+12)=0=>a-b=0;b-c=0=>a=b=c