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Home » Substituting $ heta = rac2\pi3 $: - Redraw

Substituting $ heta = rac2\pi3 $: - Redraw

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 From (1): \( -2 + b = 8 \Rightarrow b = 10 \)

📌 oxed{-2u + 10}

📌 Compute the sum of the roots of the equation

📌 \[ u\sqrt{u} - 5u + 6\sqrt{u} - 4 = 0 \]

📌 given that all roots are non-negative real numbers.

📌 Let \( x = \sqrt{u} \), so \( u = x^2 \) and \( u\sqrt{u} = x^2 \cdot x = x^3 \). Substitute:

📌 \[ x^3 - 5x^2 + 6x - 4 = 0 \]

📌 We solve this cubic equation. Try rational roots: \( \pm1, \pm2, \pm4 \).

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