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Home » Green Lantern John Stewart: What This Legend Actually REALLY Does for Justice! - AssociationVoting

Green Lantern John Stewart: What This Legend Actually REALLY Does for Justice! - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Thus, the intersection point is \(\left(-\frac{4}{5}, \frac{7}{5}\right)\).

📌 \(\boxed{\left(-\frac{4}{5}, \frac{7}{5}\right)}\)

📌 An entomologist simplifies a complex ratio of wingbeat frequencies given by \(\frac{3 + \sqrt{5}}{2 - \sqrt{5}}\). Rationalize the denominator and express in simplest form.

📌 Multiply numerator and denominator by the conjugate of the denominator \(2 + \sqrt{5}\):

📌 \[ \frac{3 + \sqrt{5}}{2 - \sqrt{5}} \cdot \frac{2 + \sqrt{5}}{2 + \sqrt{5}} = \frac{(3 + \sqrt{5})(2 + \sqrt{5})}{(2 - \sqrt{5})(2 + \sqrt{5})} \]

📌 First, compute the denominator:

📌 \[ (2)^2 - (\sqrt{5})^2 = 4 - 5 = -1 \]

📌 Now, expand the numerator:

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S(n, k) = k \cdot S(n-1, k) + S(n-1, k-1),
with base cases $ S(n, 0) = 0 $ for $ n > 0 $, $ S(0, 0) = 1 $, and $...
Using known values or computing step-by-step:
$ S(1,1) = 1 $
$ S(2,1) = 1 $, $ S(2,2) = 1 $
$ S(3,1) = 1 $, $ S(3,2) = 3 $, $ S(3,3) = 1 $
$ S(4,3) = 6 $
$ S(5,3) = 25 $
$ S(6,3) = 90 $
$ S(7,3) = 3 \cdot S(6,3) + S(6,2) $

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