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what is forbes 30 under 30 - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 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 \( b_3 \).

📌 We compute recursively:

📌 \( b_2 = M(b_1) = M(1) = 1 - \frac{1^4}{4} = 1 - \frac{1}{4} = \frac{3}{4} \)

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