document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104057>Question 104057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square.  <BR>\n" );
document.write( "	x^2 = 5x + 2<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 #75718 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=75718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Transforming the equation,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x-2=0 ALIGN=MIDDLE  ALT=\"x%5E2-5x-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note that,perfect squares have the format,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thus, comparing this to the equation,\r<BR>\n" );
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document.write( "2ab=-5x--------------------------------(1)\r<BR>\n" );
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document.write( "and also,\r<BR>\n" );
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document.write( "a=x------------------------------------(2)\r<BR>\n" );
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document.write( "Substituting (2) to (1),\r<BR>\n" );
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document.write( "2bx=-5x<BR>\n" );
document.write( " 2b=-5<BR>\n" );
document.write( "b=-5/2\r<BR>\n" );
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document.write( "Then,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2=x%5E2-5x%2B%2825%2F4%29 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2=x%5E2-5x%2B%2825%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thus,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x-2=0 ALIGN=MIDDLE  ALT=\"x%5E2-5x-2=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%5E2-5x%2B%2825%2F4%29=0%2B2%2B%2825%2F4%29 ALIGN=MIDDLE  ALT=\"x%5E2-5x%2B%2825%2F4%29=0%2B2%2B%2825%2F4%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=%28x%5E2%2B%2825%2F4%29%29%5E2=33%2F4 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B%2825%2F4%29%29%5E2=33%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%2B%285%2F2%29=%2B%28sqrt%2833%29%2F2%29 ALIGN=MIDDLE  ALT=\"x%2B%285%2F2%29=%2B%28sqrt%2833%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%285%2F2%29=-%28sqrt%2833%29%2F2%29 ALIGN=MIDDLE  ALT=\"x%2B%285%2F2%29=-%28sqrt%2833%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%285%2F2%29%2B%28sqrt%2833%29%2F2%29 ALIGN=MIDDLE  ALT=\"x=-%285%2F2%29%2B%28sqrt%2833%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%285%2F2%29-%28sqrt%2833%29%2F2%29 ALIGN=MIDDLE  ALT=\"x=-%285%2F2%29-%28sqrt%2833%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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