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Just a simple cubic

Algebra Level 4

Given that \(i-3\) and \(\beta\) are both roots of \(P(x)=ax^3+9x^2+ax-30\), where \(a\) and \(\beta\) are real numbers, find the value of \(a+\beta\).

\[\frac{9}{2}\] \[\frac{1}{2}\] \[\frac{5}{2}\] \[\frac{3}{2}\] \[\frac{7}{2}\]

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by Pablo Padilla

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