if b=0 , x→R-{0}
if b>0 , x→R
if b<0 , x→[-a,a] where a = √10062-b - 1006
\hspace{-16}$Determine all values ​​of $\bf{x}$ such that for all $\bf{x}$ at least one of $\bf{f(x) = x^2 +2012 x + b}$\\\\ or $\bf{g(x) = x^2 + b-2012x}$ positive.
if b=0 , x→R-{0}
if b>0 , x→R
if b<0 , x→[-a,a] where a = √10062-b - 1006