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Let $f(x) = x^2 + bx + 12 - 3x + 10$ for all real numbers $x$. Find the greatest integer value of $b$ such that $-4$ is not in the range of $f(x)$.

 Mar 27, 2024
 #1
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6 and 3 + 2sqrt(2)

 Mar 27, 2024

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