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determinant of 2x2 matrix - Sourci

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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a - 6, \quad a - 3, \quad a, \quad a + 3, \quad a + 6
Since the middle term is given as 2, we have \(a = 2\).
So the terms are:
-4, \quad -1, \quad 2, \quad 5, \quad 8
Now compute the sum of the squares:
This matches the given sum. Therefore, the first term is \(\boxed{-4}\...
Solution:** We are given the quadratic function \( P(x) = ax^2 + bx +...
\( a(1)^2 + b(1) + c = 6 \) which simplifies to \( a + b + c = 6 \).
\( a(2)^2 + b(2) + c = 11 \) which simplifies to \( 4a + 2b + c = 11 \...
\( a(3)^2 + b(3) + c = 18 \) which simplifies to \( 9a + 3b + c = 18 \...

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