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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

 Jul 24, 2020
 #1
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https://artofproblemsolving.com/wiki/index.php/2013_AMC_10B_Problems/Problem_19

 Jul 24, 2020

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