document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=695875>Question 695875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me use the quadratic formula to solve the following. Leave irrational roots in the simplest radical form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3m%5E2+%2B+m+-+2+=+0 ALIGN=MIDDLE  ALT=\"3m%5E2+%2B+m+-+2+=+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=5p%5E2+%2B+3p+-+2+=+0 ALIGN=MIDDLE  ALT=\"5p%5E2+%2B+3p+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428671 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=428671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Quadratic formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3m%5E2%2Bm-2=0 ALIGN=MIDDLE  ALT=\"3m%5E2%2Bm-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a is 3, b is 1 and c is -2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-1%2B-sqrt%281%5E2-4%283%29%28-2%29%29%29%2F%282%2A3%29 ALIGN=MIDDLE  ALT=\"m=%28-1%2B-sqrt%281%5E2-4%283%29%28-2%29%29%29%2F%282%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-1%2B-sqrt%281%2B24%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"m+=+%28-1%2B-sqrt%281%2B24%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-1%2B-5%29%2F6 ALIGN=MIDDLE  ALT=\"m+=+%28-1%2B-5%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2B5%29%2F6 ALIGN=MIDDLE  ALT=\"%28-1%2B5%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28m+=+4%2F6+=+2%2F3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28m+=+4%2F6+=+2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1-5%29%2F6 ALIGN=MIDDLE  ALT=\"%28-1-5%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28m+=+-6%2F6+=+-1%29 ALIGN=MIDDLE  ALT=\"highlight_green%28m+=+-6%2F6+=+-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solutions make sense because it factors as (3m-2)(m+1)=0<BR>\n" );
document.write( "...<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Using 5p^2 + 3p - 2 = 0<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=%28-3%2B-sqrt%283%5E2-4%285%29%28-2%29%29%29%2F%282%2A5%29 ALIGN=MIDDLE  ALT=\"p+=%28-3%2B-sqrt%283%5E2-4%285%29%28-2%29%29%29%2F%282%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%28-3%2B-sqrt%289%2B40%29%29%2F10 ALIGN=MIDDLE  ALT=\"p+=+%28-3%2B-sqrt%289%2B40%29%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%28-3%2B-7%29%2F10 ALIGN=MIDDLE  ALT=\"p+=+%28-3%2B-7%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2B7%29%2F10 ALIGN=MIDDLE  ALT=\"%28-3%2B7%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28p+=+4%2F10+=+2%2F5%29 ALIGN=MIDDLE  ALT=\"highlight_green%28p+=+4%2F10+=+2%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3-7%29%2F10 ALIGN=MIDDLE  ALT=\"%28-3-7%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28p+=+-10%2F10+=+-1%29 ALIGN=MIDDLE  ALT=\"highlight_green%28p+=+-10%2F10+=+-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solutions make sense because it factors as (5p-2)(p+1)=0<BR>\n" );
document.write( "……………….<BR>\n" );
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