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Home » \mathbfv_\perp = \mathbfv - extproj_{\mathbfc} \mathbfv - Blask

\mathbfv_\perp = \mathbfv - extproj_{\mathbfc} \mathbfv - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Therefore, no integer solution. But likely intended:
Try n = 8: 4×(10 + 21) = 124
n = 6: 3×(10 + 15) = 75
n = 9: 4.5×(10 + 24) = 4.5×34 = 153
So no solution — but if we solve quadratic:
n = [ -7 + √(49 + 2640) ] / 6 = [ -7 + √2689 ] / 6
√2689 ≈ 51.85 → n ≈ 44.85 / 6 ≈ 7.475 → not integer → no valid n?
But question must have solution.
Recompute: 3n² + 7n - 220 = 0
Try n = 8: 3(64) + 56 - 220 = 192 + 56 - 220 = 28 ≠ 0

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