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Home » \( 2 < x < 3 \): \( (+)(+)(-) = - \) â negative - Dyverse

\( 2 < x < 3 \): \( (+)(+)(-) = - \) â negative - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 x^3 + y^3 = (x + y)^3 - 3xy(x + y) = 10^3 - 3 \cdot 21 \cdot 10 = 1000 - 630 = 370

📌 Question: If $x + rac{1}{x} = 3$, what is the value of $x^3 + rac{1}{x^3}$?

📌 x^3 + rac{1}{x^3} = \left(x + rac{1}{x}

📌 ight)^3 - 3\left(x + rac{1}{x}

📌 x + rac{1}{x} = 3

📌 x^3 + rac{1}{x^3} = 3^3 - 3 \cdot 3 = 27 - 9 = 18

🔥 Popular Posts

Solution: In a regular tetrahedron, all edges are equal. Compute dista...
AB = \sqrt{(1 - 1)^2 + (1 + 1)^2 + (1 + 1)^2} = \sqrt{0 + 4 + 4} = \sq...
AC = \sqrt{(1 + 1)^2 + (1 - 1)^2 + (1 + 1)^2} = \sqrt{4 + 0 + 4} = \sq...
BC = \sqrt{(1 + 1)^2 + (-1 - 1)^2 + (-Question: Let $ x $, $ y $, and...
rac{x}{y} + rac{y}{z} + rac{z}{x} - \log\left(rac{x}{z} + rac{z}{x...
Let us define $ a = rac{x}{y} $, $ b = rac{y}{z} $, and $ c = rac{z...
abc = rac{x}{y} \cdot rac{y}{z} \cdot rac{z}{x} = 1.
We are to minimize
a + b + c - \log\left(rac{x}{z} + rac{z}{x}
ight) = a + b + c - \log\left(rac{1}{b} + b

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