Find the number of elements in the set (a, b) N: 2 a, b 2023, _a(b)+6 _b(a)=5 .

Step-by-step solution

aligned & _a b=t & t+ 6 t =5 & t^2-5 t+6=0 t=2 or 3 & _a b=2 or 3 b=a^2 or a^3 & a^2 2023 and a^3 2023 & a 44.97 and a 12.64 & a 2, .44 and a 2, .12 & (44-2+1)+(12-2+1) & 43+11=54 aligned