f(x)=ax2+bx+c;a,b,c are reals. M={f(2n)|n is integer},N={f(2n+1)|n is integer} Prove that M=N or M∩N=\O
Source: St Petersburg Olympiad 2009, Grade 11, P1
Tags: algebra
f(x)=ax2+bx+c;a,b,c are reals. M={f(2n)|n is integer},N={f(2n+1)|n is integer} Prove that M=N or M∩N=\O