document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=655375>Question 655375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose x1 and x2 are two solutions of the equation x^2+bx+c=0.Find x_1+x_2   and x_1 x_2.<BR>\n" );
document.write( "           Hint: What are the solutions?<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 #409087 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=409087\">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=x1 ALIGN=MIDDLE  ALT=\"x1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2 ALIGN=MIDDLE  ALT=\"x2\"   DISABLED_style= \"max-width:90%; height:auto;\" > are two solutions of the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bbx%2Bc=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+=+%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;\" >...since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "so, the solutions are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x_1+=+%28-b+%2Bsqrt%28+b%5E2-4c+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x_1+=+%28-b+%2Bsqrt%28+b%5E2-4c+%29%29%2F2+\"   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_2+=+%28-b+-+sqrt%28+b%5E2-4c+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x_2+=+%28-b+-+sqrt%28+b%5E2-4c+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x_1%2Bx_2 ALIGN=MIDDLE  ALT=\"x_1%2Bx_2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x_1+%2A_2 ALIGN=MIDDLE  ALT=\"x_1+%2A_2\"   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_1%2Bx_2=%28-b+%2Bsqrt%28+b%5E2-4c+%29%29%2F2%2B%28-b+-+sqrt%28+b%5E2-4c+%29%29%2F2 ALIGN=MIDDLE  ALT=\"x_1%2Bx_2=%28-b+%2Bsqrt%28+b%5E2-4c+%29%29%2F2%2B%28-b+-+sqrt%28+b%5E2-4c+%29%29%2F2\"   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_1%2Bx_2=%28-b+%2Bsqrt%28+b%5E2-4c+%29-b%2Bsqrt%28+b%5E2-4c+%29%29%2F2 ALIGN=MIDDLE  ALT=\"x_1%2Bx_2=%28-b+%2Bsqrt%28+b%5E2-4c+%29-b%2Bsqrt%28+b%5E2-4c+%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x_1+%2A_2=%28-b+%2Bsqrt%28+b%5E2-4c+%29%29%2A%28-b+-+sqrt%28+b%5E2-4c+%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"x_1+%2A_2=%28-b+%2Bsqrt%28+b%5E2-4c+%29%29%2A%28-b+-+sqrt%28+b%5E2-4c+%29%29%2F%282%2A2%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=x_1+%2A_2=%28b%5E2+%2Bb%2Asqrt%28+b%5E2-4c+%29-b%2Asqrt%28+b%5E2-4c+%29+%2B%28+sqrt%28+b%5E2-4c+%29%29%5E2%29%2F4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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