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Let p and q be real numbers such that the roots of \(x^2 + px + q = 0\) are real. Prove that the roots of \(x^2 + px + q + (x + a)(2x + p) = 0\) are real, for any real number a.

 May 3, 2020
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For the community: Please don't submit solutions to this problem. This is a homework problem on an online course that does not allow students to search for answers to specific problems outside of the school.

 

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 Jun 24, 2020

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