document.write( "Question 1171986: All the roots of
\n" ); document.write( "x^2 + px + q = 0 are real, where p and q are real numbers. Prove that all the roots of
\n" ); document.write( "x^2 + px + q + (x + a)(2x + p) = 0 are real, for any real number a.
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Algebra.Com's Answer #797290 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Was considered and answered several times at this forum.\r
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