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Daca a\b=11\17 , a,b ∈ Q* , aratati ca a+2b\2a-b este numar natural patrat perfect . 

Răspuns :

a= 11b/17 
a+2b=11b/17 + 2b = 45b/17
2a-b=22b/17-b=5b/17
a+2b/2a-b=9 = patrat perfect (3²)