document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312452>Question 312452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Why do you factor a quadratic equation before you solve? <BR>\n" );
document.write( "Why are there usually two solutions to a quadratic equation? <BR>\n" );
document.write( "What do the solutions of a quadratic equation represent? Give a example. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223438 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223438\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If it's possible it's an easy way to find the zeros of the function, that is, the x locations where the function crosses the x-axis.<BR>\n" );
document.write( "There may be 0,1, or at most 2 solutions to a quadratic equation as shown below in my three examples. <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+300%2C+300%2C+-8%2C+8%2C+-6%2C+10%2Cgrid%281%29%2Ccircle%28-3%2C0%2C.3%29%2Ccircle%28sqrt%282%29%2C0%2C.3%29%2Ccircle%28-sqrt%282%29%2C0%2C.3%29%2Cgraph%28+300%2C+300%2C+-8%2C+8%2C+-6%2C+10%2C+%28x%2B3%29%5E2%2C+%28x%29%5E2-2%2C+%28x-4%29%5E2%2B2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Red-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B3%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Green-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x%5E2-2 ALIGN=MIDDLE  ALT=\"g%28x%29=x%5E2-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-sqrt%282%29 ALIGN=MIDDLE  ALT=\"x=-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%282%29 ALIGN=MIDDLE  ALT=\"x=sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Blue-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=x%5E2-8x%2B18 ALIGN=MIDDLE  ALT=\"h%28x%29=x%5E2-8x%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" >, No real solutions, doesn't cross the x-axis.  </SPAN>\n" );
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