The number of elements in the set (a,b):2a2+3b2=35,a,b∈Z}, where Z is the set of all integers, is

Given set is (a,b):2a2+3b2=35,a,b∈Z We can see that, 2(±2)2+3(±3)2=35 and 2(±4)2+3(±1)2=35∴ (2,3),(2,−3),(−2,−3),(−2,3),(4,1),(4,−1),(−4,−1),(-4,1)eight elements of the set, so n=8 .