document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89118>Question 89118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square.  <BR>\n" );
document.write( "	2x^2 + 8x + 5 = 0\r<BR>\n" );
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document.write( "If anyone could offer assistance on how to complete this problem step-by-step, it would be greatly appreciated.  \r<BR>\n" );
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document.write( "Thank you in advance for your time. <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 #64778 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64778\">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=2x%5E2%2B8x%2B5=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B8x%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First, put the x^2 and x terms alone on one side of the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B8x=-5 ALIGN=MIDDLE  ALT=\"2x%5E2%2B8x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You need to be sure the coefficient of x^2 is 1, so divide all terms by 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x=-5%2F2 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x=-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide the coefficient of x by 2 and square the result. Add this to both sides of the equation in order to maintain the equality.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B4=-5%2F2%2B4 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B4=-5%2F2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify right hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B4=3%2F2 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B4=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, the left hand side can be written as a perfect square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2=3%2F2 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides:<BR>\n" );
document.write( "x+2=+-sqrt(3/2)<BR>\n" );
document.write( "Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-2%2B-sqrt%283%2F2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-2%2B-sqrt%283%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can plug this into a calculator if you need a numerical answer, but this is usually good enough.<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com<BR>\n" );
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