document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281519>Question 281519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve the sum of twice a number and its square is 143?  I can write out the equation, but I don't know the answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204512 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathematicians><B>Mathematicians(84)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathematicians><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=Mathematicians><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=204512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Judging by your question, writing out the equation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+x%5E2+=+143 ALIGN=MIDDLE  ALT=\"2x+%2B+x%5E2+=+143\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In order to solve this equation, you need to get everything on one side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+-+143+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+-+143+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We need to find two numbers that add up to be positive 2 and multiply to be 143. 143 is 13 * 11 which is a coincidence because those are two apart from each other.\r<BR>\n" );
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document.write( "We get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+13%29%28x+-+11%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+%2B+13%29%28x+-+11%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using zero product principle, we know that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+11%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+11%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight+%28x+=+11%29 ALIGN=MIDDLE  ALT=\"highlight+%28x+=+11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+13%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+%2B+13%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight+%28x+=+-13%29 ALIGN=MIDDLE  ALT=\"highlight+%28x+=+-13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Both of these are your answers! See ya around! </SPAN>\n" );
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