If \( \frac{3-2 \sqrt{5}}{6-\sqrt{5}}=a+b \sqrt{5} \) where \( a \) and \( b \) are rational num...
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If \( \frac{3-2 \sqrt{5}}{6-\sqrt{5}}=a+b \sqrt{5} \) where \( a \) and \( b \) are rational numbers, then what are the values of \( a \) and \( b \) ?
(a) \( \frac{8}{35}, \frac{-9}{35} \)
(b) \( \frac{8}{31}, \frac{-9}{31} \)
(c) \( \frac{-8}{31}, \frac{9}{31} \)
(d) \( \frac{-8}{35}, \frac{9}{35} \)
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