quadratic positive

\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.

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262
Aditya Bhutra ·

if b=0 , x→R-{0}

if b>0 , x→R

if b<0 , x→[-a,a] where a = √10062-b - 1006

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