Solve $a^{9} + a^{4}$

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Solution

$\begin{matrix} a^{9} + a^{4} = a^{4} (a^{5} + 1) = a^{4} (1 + a^{5}) \end{matrix}$

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a^{7} + \frac{1}{a^{9}} = ?

a_{9}

a_{4} + a_{11} = 118

a_{6} = 56

a_{1}, a_{2}, a_{3} . . . . a_{9}

a_{4} = 5, a_{5} = 5

Δ = ∣ ∣ ∣ ∣ \begin{matrix} a_{1} & a_{2} & a_{3} a_{4} & a_{5} & a_{6} a_{6} & a_{7} & a_{8} \end{matrix} ∣ ∣ ∣ ∣

\int \frac{x}{x^{4} - a^{4}}

a_{9}

a_{4} + a_{11} = 118

a_{6} = 56

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