document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198731>Question 1198731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the equation,  4x^2-18x=3. What number must be added to both sides of the equation in order to complete the square? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832372 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=832372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "The rule we use for completing the square is that if we add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28b%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides of the equation in order to complete the square.\r<BR>\n" );
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document.write( "But if a general quadratic equation have a coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > in front of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   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=ax%5E2+%2B+bx+%2B+c+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we just divide the whole equation by \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" first, then carry on:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28b%2Fa%29x+%2B+c%2Fa+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28b%2Fa%29x+%2B+c%2Fa+=+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=4x%5E2-18x=3 ALIGN=MIDDLE  ALT=\"4x%5E2-18x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >............divide the whole equation by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   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%5E2-%2818%2F4%29x=3%2F4 ALIGN=MIDDLE  ALT=\"x%5E2-%2818%2F4%29x=3%2F4\"   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%5E2-%289%2F2%29x=3%2F4 ALIGN=MIDDLE  ALT=\"x%5E2-%289%2F2%29x=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >............. the coefficient of the x term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=9%2F2 ALIGN=MIDDLE  ALT=\"b=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2F2%29%5E2=+%28%289%2F2%29%2F2%29%5E2=%289%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"%28b%2F2%29%5E2=+%28%289%2F2%29%2F2%29%5E2=%289%2F4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, add to both sides \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%289%2F2%29x%2B%289%2F4%29%5E2=3%2F4%2B%289%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-%289%2F2%29x%2B%289%2F4%29%5E2=3%2F4%2B%289%2F4%29%5E2\"   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=%28x%5E2-9%2F4%29%5E2=3%2F4%2B81%2F16 ALIGN=MIDDLE  ALT=\"%28x%5E2-9%2F4%29%5E2=3%2F4%2B81%2F16\"   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=%28x%5E2-9%2F4%29%5E2=93%2F16 ALIGN=MIDDLE  ALT=\"%28x%5E2-9%2F4%29%5E2=93%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, you need to add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"%289%2F4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides\r<BR>\n" );
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