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 #127752 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=127752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=5x+%2B+2 ALIGN=MIDDLE  ALT=\"x%5E2=5x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Start with the given 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 ALIGN=MIDDLE  ALT=\"x%5E2-5x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Subtract 5x from both sides.\r<BR>\n" );
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document.write( "Take half of the x coefficient 5 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Square that value to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F4 ALIGN=MIDDLE  ALT=\"25%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%5E2-5x+%2B25%2F4=+2%2B25%2F4 ALIGN=MIDDLE  ALT=\"x%5E2-5x+%2B25%2F4=+2%2B25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F4 ALIGN=MIDDLE  ALT=\"25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > 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%5E2-5x+%2B25%2F4=+33%2F4 ALIGN=MIDDLE  ALT=\"x%5E2-5x+%2B25%2F4=+33%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%2F2%29%5E2+=33%2F4 ALIGN=MIDDLE  ALT=\"%28x-5%2F2%29%5E2+=33%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x+%2B25%2F4 ALIGN=MIDDLE  ALT=\"x%5E2-5x+%2B25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-5%2F2%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=x-5%2F2=0%2B-sqrt%2833%2F4%29 ALIGN=MIDDLE  ALT=\"x-5%2F2=0%2B-sqrt%2833%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5%2F2=sqrt%2833%2F4%29 ALIGN=MIDDLE  ALT=\"x-5%2F2=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-5%2F2=-sqrt%2833%2F4%29 ALIGN=MIDDLE  ALT=\"x-5%2F2=-sqrt%2833%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the \"plus/minus\" to form two equations.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5%2F2=sqrt%2833%29%2F2 ALIGN=MIDDLE  ALT=\"x-5%2F2=sqrt%2833%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5%2F2=-sqrt%2833%29%2F2 ALIGN=MIDDLE  ALT=\"x-5%2F2=-sqrt%2833%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Simplify the square root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2F2%2Bsqrt%2833%29%2F2 ALIGN=MIDDLE  ALT=\"x=5%2F2%2Bsqrt%2833%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2F2-sqrt%2833%29%2F2 ALIGN=MIDDLE  ALT=\"x=5%2F2-sqrt%2833%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > 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=%285%2Bsqrt%2833%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%285%2Bsqrt%2833%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285-sqrt%2833%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%285-sqrt%2833%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285%2Bsqrt%2833%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%285%2Bsqrt%2833%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285-sqrt%2833%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%285-sqrt%2833%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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