document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049893>Question 1049893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that the roots of quadratic equation i.e ax2+bx+c=0 numerically equals but opposite in sign to the roots of ax2-bx+c </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665490 by </B><A HREF=/tutors/aboutme.mpl?userid=advanced_Learner><B>advanced_Learner(501)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=advanced_Learner><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=advanced_Learner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=665490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28b%2Fa%29x%2Bc%2F%28a%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28b%2Fa%29x%2Bc%2F%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28b%2Fa%29x ALIGN=MIDDLE  ALT=\"x%5E2%2B%28b%2Fa%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28b%2Fa%29x%2B%28b%2F2a%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28b%2Fa%29x%2B%28b%2F2a%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<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;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2F2a%29%5E2 ALIGN=MIDDLE  ALT=\"%28b%2F2a%29%5E2\"   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=%28x%2Bb%2F2a%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2Bb%2F2a%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<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;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2F2a%29%5E2 ALIGN=MIDDLE  ALT=\"%28b%2F2a%29%5E2\"   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=%28x%29=+-b%2F2a+%2B-+sqrt%28-c%2Fa%2B%28b%2F2a%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%29=+-b%2F2a+%2B-+sqrt%28-c%2Fa%2B%28b%2F2a%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+%28-c%2Fa%29%2A%282a%29%5E2+%2B%28b%2F2a%29%5E2%2A%282a%29%5E2+%29%29%2F%282%2Aa%29%29+ ALIGN=MIDDLE   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=x+=+%28-b+%2B-+sqrt%28+-4%2Aa%2Ac%2Bb%5E2+%29%29%2F%282%2Aa%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+-4%2Aa%2Ac%2Bb%5E2+%29%29%2F%282%2Aa%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2-bx%2Bc ALIGN=MIDDLE  ALT=\"ax%5E2-bx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   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=x%5E2-%28b%2Fa%29x%2Bc%2F%28a%29 ALIGN=MIDDLE  ALT=\"x%5E2-%28b%2Fa%29x%2Bc%2F%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%28b%2Fa%29x ALIGN=MIDDLE  ALT=\"x%5E2-%28b%2Fa%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%28b%2Fa%29x%2B%28b%2F2a%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-%28b%2Fa%29x%2B%28b%2F2a%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<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;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2F2a%29%5E2 ALIGN=MIDDLE  ALT=\"%28b%2F2a%29%5E2\"   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=%28x-b%2F2a%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-b%2F2a%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<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;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2F2a%29%5E2 ALIGN=MIDDLE  ALT=\"%28b%2F2a%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29=+b%2F2a+%2B-+sqrt%28-c%2Fa%2B%28b%2F2a%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%29=+b%2F2a+%2B-+sqrt%28-c%2Fa%2B%28b%2F2a%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28b+%2B-+sqrt%28+%28-c%2Fa%29%2A%282a%29%5E2+%2B%28b%2F2a%29%5E2%2A%282a%29%5E2+%29%29%2F%282%2Aa%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28b+%2B-+sqrt%28+-4%2Aa%2Ac%2Bb%5E2+%29%29%2F%282%2Aa%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28b+%2B-+sqrt%28+-4%2Aa%2Ac%2Bb%5E2+%29%29%2F%282%2Aa%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "hence proved </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );