document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199688>Question 1199688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (2m+1)x^2 -4mx = 1-3m, has equal roots. Find the roots. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833647 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833647\">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=%282m%2B1%29x%5E2-4mx%2B3m-1=0 ALIGN=MIDDLE  ALT=\"%282m%2B1%29x%5E2-4mx%2B3m-1=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=%282m%2B1%29x%5E2-4mx%2B%283m-1%29=0 ALIGN=MIDDLE  ALT=\"%282m%2B1%29x%5E2-4mx%2B%283m-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you can think of nothing else, use general solution formula for quadratic equation, and just perform the needed algebra steps.  Be aware if you expect the roots to be equal, then discriminant is 0.\r<BR>\n" );
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document.write( "discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4m%29%5E2-4%2A%282m%2B1%29%283m-1%29 ALIGN=MIDDLE  ALT=\"%28-4m%29%5E2-4%2A%282m%2B1%29%283m-1%29\"   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=16m%5E2-4%286m%5E2%2Bm-1%29 ALIGN=MIDDLE  ALT=\"16m%5E2-4%286m%5E2%2Bm-1%29\"   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=16m%5E2-24m%5E2-4m%2B4 ALIGN=MIDDLE  ALT=\"16m%5E2-24m%5E2-4m%2B4\"   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=-8m%5E2-4m%2B4 ALIGN=MIDDLE  ALT=\"-8m%5E2-4m%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  which needs to be 0.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8m%5E2%2B4m-4=0 ALIGN=MIDDLE  ALT=\"8m%5E2%2B4m-4=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=2m%5E2%2Bm-1=0 ALIGN=MIDDLE  ALT=\"2m%5E2%2Bm-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282m-1%29%28m%2B1%29=0 ALIGN=MIDDLE  ALT=\"%282m-1%29%28m%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=1%2F2 ALIGN=MIDDLE  ALT=\"m=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-1 ALIGN=MIDDLE  ALT=\"m=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You should recheck each to see if they both work. </SPAN>\n" );
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