The graph of the equation $y=ax^2+bx-6$ is completely below the $x$-axis. If $a^2=49$, what is the largest possible integral value of $b$?
Question:
The graph of the equation $y=ax^2+bx-6$ is completely below the $x$-axis. If $a^2=49$, what is the largest possible integral value of $b$?
Answer:
Let's think step by step.

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The graph of the equation $y=ax^2+bx-6$ is completely below the $x$-axis. If $a^2=49$, what is the largest possible integral value of $b$?
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