Let $\alpha,$ $\beta,$ $\gamma,$ and $\delta$ be the roots of
\[x^4 + kx^2 + 90x - 2009 = 0.\]If $\alpha \beta = 49,$ find $k.$
Question:
Let $\alpha,$ $\beta,$ $\gamma,$ and $\delta$ be the roots of
\[x^4 + kx^2 + 90x - 2009 = 0.\]If $\alpha \beta = 49,$ find $k.$
Answer:
Let's think step by step.

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7
Let $\alpha,$ $\beta,$ $\gamma,$ and $\delta$ be the roots of
\[x^4 + kx^2 + 90x - 2009 = 0.\]If $\alpha \beta = 49,$ find $k.$
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