document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150725>Question 1150725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the quadratic equation x^2 + px + q = 0 where p · q ≠ 0. If one root is three times the other root, find p^2/q. </SPAN>\n" );
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document.write( "Let the two roots be a and 3a.  The sum of the roots is 4a, and their product is 3a^2.<br><BR>\n" );
document.write( "By Vieta's Theorem, the quadratic is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4ax%2B3a%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-4ax%2B3a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2%2Fq+=+%28-4a%29%5E2%2F%283a%5E2%29+=+16%2F3 ALIGN=MIDDLE  ALT=\"p%5E2%2Fq+=+%28-4a%29%5E2%2F%283a%5E2%29+=+16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: p^2/q = 16/3<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );