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Algebra Level 3

Find the values of \(a\) for which one of the roots of \(x^2+(2a+1)x+(a^2+2)\) is twice the other.

Enter your answer as the sum of all values of \(a\).

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Excel in math and science

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It's hard to learn from lectures and videos

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including olympiad champions, researchers, and professionals.

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by Mehul Arora

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