# Unnecessarily High Powered

**Algebra**Level 4

Suppose \(\alpha\) is one of the roots of \(x^2+x-\frac{1}{4}\). Determine

\[ \frac{\alpha^3-1}{\alpha^5+\alpha^4-\alpha^3-\alpha^2} \]

Suppose \(\alpha\) is one of the roots of \(x^2+x-\frac{1}{4}\). Determine

\[ \frac{\alpha^3-1}{\alpha^5+\alpha^4-\alpha^3-\alpha^2} \]

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