document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90251>Question 90251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please assist me with detailed step by step instructions on how to complete this problem? Your assistance and time is greatly appreciated.\r<BR>\n" );
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document.write( "Solve by completing the square.  <BR>\n" );
document.write( "x2 = 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 #65502 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=65502\">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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2+-5x+=2 ALIGN=MIDDLE  ALT=\"x2+-5x+=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5x from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%28x%5E2-5x%29=2 ALIGN=MIDDLE  ALT=\"1%28x%5E2-5x%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out 1\r<BR>\n" );
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document.write( "Take half of -5 to get -2.5 (ie <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F2=-2.5 ALIGN=MIDDLE  ALT=\"-5%2F2=-2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "Now square -2.5 to get 6.25 (ie <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2.5%5E2=6.25 ALIGN=MIDDLE  ALT=\"-2.5%5E2=6.25\"   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=1%28x%5E2-5x%2B6.25%29=2 ALIGN=MIDDLE  ALT=\"1%28x%5E2-5x%2B6.25%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add this result (6.25) inside the parenthesis\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%28x%5E2-5x%2B6.25%29=2%2B6.25%281%29 ALIGN=MIDDLE  ALT=\"1%28x%5E2-5x%2B6.25%29=2%2B6.25%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 6.25(1) to the other side (remember we factored out a 1)\r<BR>\n" );
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document.write( "Now the left side is a complete square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%28x-2.5%29%5E2=2%2B6.25%281%29 ALIGN=MIDDLE  ALT=\"1%28x-2.5%29%5E2=2%2B6.25%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%28x-2.5%29%5E2=8.25 ALIGN=MIDDLE  ALT=\"1%28x-2.5%29%5E2=8.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2.5=0%2B-sqrt%288.25%29 ALIGN=MIDDLE  ALT=\"x-2.5=0%2B-sqrt%288.25%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=2.5%2B-sqrt%288.25%29 ALIGN=MIDDLE  ALT=\"x=2.5%2B-sqrt%288.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 2.5 to both sides\r<BR>\n" );
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document.write( "So the expression breaks down to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2.5%2Bsqrt%288.25%29 ALIGN=MIDDLE  ALT=\"x=2.5%2Bsqrt%288.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2.5-sqrt%288.25%29 ALIGN=MIDDLE  ALT=\"x=2.5-sqrt%288.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So our answer is approximately\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5.37228132326901 ALIGN=MIDDLE  ALT=\"x=5.37228132326901\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-0.372281323269014 ALIGN=MIDDLE  ALT=\"x=-0.372281323269014\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here is visual proof\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-5x-2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-5x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-5x-2 ALIGN=MIDDLE  ALT=\"y=x%5E2-5x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When we use the root finder feature on a calculator, we would find that the x-intercepts are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5.37228132326901 ALIGN=MIDDLE  ALT=\"x=5.37228132326901\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-0.372281323269014 ALIGN=MIDDLE  ALT=\"x=-0.372281323269014\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so this verifies our answer.\r<BR>\n" );
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