document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51610>Question 51610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the quadratic equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2=81 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2=81\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "thanks a lot </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34406 by </B><A HREF=/tutors/aboutme.mpl?userid=rchill><B>rchill(405)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rchill><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=34406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Doing it the easy way:  Let's take the square root of both sides:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B3%29%5E2%29=sqrt%2881%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B3%29%5E2%29=sqrt%2881%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3=9 ALIGN=MIDDLE  ALT=\"x%2B3=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Because we are squaring the (x+3) though, that means that we could have two solutions, one positive and one negative (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3=-9 ALIGN=MIDDLE  ALT=\"x%2B3=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Solving for the first equation,  subtract 3 from both sides:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3-3=9-3 ALIGN=MIDDLE  ALT=\"x%2B3-3=9-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now solve for the second equation:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3-3=-9-3 ALIGN=MIDDLE  ALT=\"x%2B3-3=-9-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-12 ALIGN=MIDDLE  ALT=\"x=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So there are two solutions for x:  6 and -12.  An alternative way of solving is by using the quadratic equation and discriminant. </SPAN>\n" );
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