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Home » x^2 + y^2 \geq 2xy \Rightarrow racx^2 + y^2xy \geq 2, - Tacotoon

x^2 + y^2 \geq 2xy \Rightarrow racx^2 + y^2xy \geq 2, - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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🔥 Popular Posts

Vieta's gives the sum of the roots as \( r_1 + r_2 = 5 \).
We need the square of the sum of the roots:
\[ (r_1 + r_2)^2 = 5^2 = 25 \]
Thus, the square of the sum of the roots is:
Question: The functions \( f(x) = x^2 - 3x + k \) and \( g(x) = x^2 -...
For \( f(x) \):
\[ f(3) = 3^2 - 3 \cdot 3 + k = 9 - 9 + k = k \]
For \( g(x) \):
\[ g(3) = 3^2 - 3 \cdot 3 + 2k = 9 - 9 + 2k = 2k \]
Since \( f(3) = g(3) \), we have:

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