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Home » x^2 - x - 6 = 0 - Malaeb

x^2 - x - 6 = 0 - Malaeb

📅 May 3, 2026 👤 scraface

May 03, 2026

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-\frac{5000}{x^2} - 0.5 = 0 \Rightarrow \frac{5000}{x^2} = -0.5
This yields a negative right-hand side, which is impossible. But note:...
P'(x) = -\frac{5000}{x^2} - 0.5
This is always negative, meaning \( P(x) \) is decreasing? But that ca...
Actually,
P(x) = \frac{5000}{x} + 120 - 0.5x
P'(x) = -\frac{5000}{x^2} - 0.5 \quad \text{— still negative?}
Wait — no, derivative of \( -0.5x \) is \( -0.5 \), derivative of \( 5...
This is always negative, meaning cost per unit decreases as \( x \) in...
Wait — cost per unit: \( P(x) = \frac{5000}{x} + 120 - 0.5x \)

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