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Home » So \( n(n+2) = 210 \). - Silent Sales Machine

So \( n(n+2) = 210 \). - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Equality occurs when $ \frac{x}{y} = \frac{y}{z} = \frac{z}{x} $, whic...
\frac{(1/3)^2}{1/3} + \frac{(1/3)^2}{1/3} + \frac{(1/3)^2}{1/3} = 3 \c...
Therefore, the minimum value is $ \boxed{1} $.
Question: Compute the sum of the roots of the equation
u\sqrt{u} - 6u + 7\sqrt{u} - 12 = 0,
given that all roots are real and non-negative.
Solution: Let $ \sqrt{u} = t $, so $ u = t^2 $. Substituting into the...
t^2 \cdot t - 6t^2 + 7t - 12 = 0 \Rightarrow t^3 - 6t^2 + 7t - 12 = 0
We are now to find the sum of the roots of the cubic equation
t^3 - 6t^2 + 7t - 12 = 0

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