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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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