\begin{gathered} \alpha \: and \: \beta \: are \: zeroes \: of \: x ^{2} - x - 1 \: find \: \\ \alpha + \beta \\ \alpha ^{2} + \beta ^{2} \\ \alpha \times \beta \ \\ \binom{ \alpha }{ \beta } + \binom{ \beta }{ \alpha } \\ \alpha - \beta \end{gathered}
αandβarezeroesofx
2
−x−1find
α+β
α
2
+β
2
α×β
(
β
α
)+(
α
β
)
α−β
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