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Home » x² + 2x − 3 = 8 - Red Crowns

x² + 2x − 3 = 8 - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📝 Recent Posts

9\left(\frac{256}{81}n^2\right) + 16n^2 = \frac{256}{9}n^2 + 16n^2 = \...
Thus $ n^2 = \frac{25 \cdot 9}{400} = \frac{225}{400} = \frac{9}{16} \...
If $ n = \frac{3}{4} $, $ m = -\frac{16}{9} \cdot \frac{3}{4} = -\frac...
Check $ \vec{OG} \cdot (\vec{OA} + \vec{OB}) = 0 $: Both cases satisfy...
\boxed{\left( -\dfrac{4}{3}, \dfrac{3}{4} \right)}
Question: The maximum imaginary part of a root of $ z^5 + z^3 + z + 1...
Solution: Factor the polynomial:
z^5 + z^3 + z + 1 = z^3(z^2 + 1) + 1(z + 1).
Group terms:
Roots: $ z^3 = -1 \implies z = e^{i\pi/3 + 2k\pi/3} $, and $ z^2 = -1...

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