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Home » You Won’t Believe the Forehead Size Believed to Be the Biggest in History! - AssociationVoting

You Won’t Believe the Forehead Size Believed to Be the Biggest in History! - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 v^2 \cdot v - 5v^2 + 6v = 0 \quad \Rightarrow \quad v^3 - 5v^2 + 6v = 0.

📌 v(v^2 - 5v + 6) = 0.

📌 Factor quadratic:

📌 v(v - 2)(v - 3) = 0.

📌 So, \( v = 0, 2, 3 \). Since \( u = v^2 \), the corresponding roots are:

📌 All roots are non-negative, so valid.

📌 Sum of roots: \( 0 + 4 + 9 = 13 \).

📌 Define \( M(u) = u - \frac{u^4}{4} \) for all real \( u \). If \( n \) is a positive integer, define \( b_n \) by \( b_1 = 1 \) and \( b_{n} = M(b_{n-1}) \) for \( n \geq 2 \). Compute \( b_3 \).

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For \( t = rac{5 + \sqrt{7}}{9} \):
R''\left(rac{5 + \sqrt{7}}{9}
ight) = 18\left(rac{5 + \sqrt{7}}{9}
ight) - 10 = 2(5 + \sqrt{7}) - 10 = 2\sqrt{7} > 0 \quad ( ext{local mi...
For \( t = rac{5 - \sqrt{7}}{9} \):
R''\left(rac{5 - \sqrt{7}}{9}
ight) = 18\left(rac{5 - \sqrt{7}}{9}
ight) - 10 = 2(5 - \sqrt{7}) - 10 = -2\sqrt{7} < 0 \quad ( ext{local m...
Thus, the revenue growth rate is maximized at \( t = rac{5 - \sqrt{7}...
oxed{rac{5 - \sqrt{7}}{9}}

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