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Home » If \(n+1\) is even, then \(n+1\) is divisible by 2. - DNSFLEX

If \(n+1\) is even, then \(n+1\) is divisible by 2. - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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The roots of the quadratic equation \( x^2 - 5x + 6 = 0 \) can be foun...
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 \( g(x) \):
\[ g(3) = 3^2 - 3 \cdot 3 + 2k = 9 - 9 + 2k = 2k \]

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