document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766202>Question 766202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Sir/ Madam,<BR>\n" );
document.write( " Good day! kindly help me in answering this mathematical problem:<BR>\n" );
document.write( "Prove that if roots of ax^2+bx+c=0 are reciprocals, then a=c<BR>\n" );
document.write( "Thank you very much for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466767 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Dear Sir/ Madam,<BR>\n" );
document.write( " Good day! kindly help me in answering this mathematical problem:<BR>\n" );
document.write( "Prove that if roots of ax^2+bx+c=0 are reciprocals, then a=c<BR>\n" );
document.write( "Thank you very much for your help!\r<BR>\n" );
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document.write( "Let root 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D ALIGN=MIDDLE  ALT=\"r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since the roots are reciprocals, then root 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fr%5B1%0D%0A%5D ALIGN=MIDDLE  ALT=\"1%2Fr%5B1%0D%0A%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Product of roots: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fa ALIGN=MIDDLE  ALT=\"c%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Product of roots, based on the fact that they are reciprocals: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D%2A+%281%2Fr%5B1%5D%29 ALIGN=MIDDLE  ALT=\"r%5B1%5D%2A+%281%2Fr%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or 1\r<BR>\n" );
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document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fa+=+1 ALIGN=MIDDLE  ALT=\"c%2Fa+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28c+=+a%29 ALIGN=MIDDLE  ALT=\"highlight_green%28c+=+a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Cross-multiplying </SPAN>\n" );
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