document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172883>Question 172883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square.<BR>\n" );
document.write( "x² = 5x + 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127754 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Step 1:  Arrange your equation so that the variables are on the left and the constant term is on the right:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=5x%2B2 ALIGN=MIDDLE  ALT=\"x%5E2=5x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x=2 ALIGN=MIDDLE  ALT=\"x%5E2-5x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2:  Divide both sides by the coefficient on the 2nd order term.  In this case the coefficient is 1, so you can ignore this step.\r<BR>\n" );
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document.write( "Step 3:  Divide the coefficient on the 1st order term by 2 and then square the result.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F2%29%5E2=25%2F4 ALIGN=MIDDLE  ALT=\"%285%2F2%29%5E2=25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4:  Add the result of Step 3 to both sides of 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%2B5x%2B%2825%2F4%29=2%2B%2825%2F4%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B5x%2B%2825%2F4%29=2%2B%2825%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5:  You have now created a perfect square trinomial on the left.  Factor it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B%285%2F2%29%29%5E2=33%2F4 ALIGN=MIDDLE  ALT=\"%28x%2B%285%2F2%29%29%5E2=33%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6:  Take the square root of both sides remembering to consider both the positive and negative roots\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=sqrt%2833%2F4%29 ALIGN=MIDDLE  ALT=\"x%2B%285%2F2%29=sqrt%2833%2F4%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=-sqrt%2833%2F4%29 ALIGN=MIDDLE  ALT=\"x%2B%285%2F2%29=-sqrt%2833%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=x%5B1%5D=%28-5%2Bsqrt%2833%29%29%2F2 ALIGN=MIDDLE  ALT=\"x%5B1%5D=%28-5%2Bsqrt%2833%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=%28-5-sqrt%2833%29%29%2F2 ALIGN=MIDDLE  ALT=\"x%5B2%5D=%28-5-sqrt%2833%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Those are the exact answers.  You can use a calculator if you need numerical approximations </SPAN>\n" );
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