document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767458>Question 767458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation x^2-2x-11=0 has solutions a and b. Find the value of a^2 + b^2.\r<BR>\n" );
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document.write( "Please help me and give explanation in detail so I can understand it. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467631 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "The equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-11=0 ALIGN=MIDDLE  ALT=\"x%5E2-2x-11=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > has solutions a and b. Find the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "The sum of the roots of a quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%5E2+%2B+Bx+%2B+C+=+0 ALIGN=MIDDLE  ALT=\"Ax%5E2+%2B+Bx+%2B+C+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-B%29%2FA ALIGN=MIDDLE  ALT=\"%28-B%29%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the product of the roots is equal to <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;\" >.<BR>\n" );
document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-11=0 ALIGN=MIDDLE  ALT=\"x%5E2-2x-11=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a + b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28-2%29%29%2F1 ALIGN=MIDDLE  ALT=\"%28-%28-2%29%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2 and ab = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-11%29%2F1 ALIGN=MIDDLE  ALT=\"%28-11%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -11.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B+b%29%5E2 ALIGN=MIDDLE  ALT=\"%28a+%2B+b%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+2ab+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+2ab+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%5E2+-+2ab ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%5E2+-+2ab\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2+-+2%28-11%29 ALIGN=MIDDLE  ALT=\"2%5E2+-+2%28-11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2826%29 ALIGN=MIDDLE  ALT=\"highlight%2826%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2826%29 ALIGN=MIDDLE  ALT=\"highlight%2826%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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