document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69891>Question 69891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square:<BR>\n" );
document.write( "x^2 - 16x + 63 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "I have four answers:<BR>\n" );
document.write( "a) -7, 9<BR>\n" );
document.write( "b) 7,9<BR>\n" );
document.write( "C) 7, -9<BR>\n" );
document.write( "D) -7, -9\r<BR>\n" );
document.write( "\n" );
document.write( "When I plug in these answers, I do not come up with zero, am I doing something wrong? Thank you for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49791 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=49791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+16x+%2B+63+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+16x+%2B+63+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A=1<BR>\n" );
document.write( "B=-16<BR>\n" );
document.write( "C=+63\r<BR>\n" );
document.write( "\n" );
document.write( "First, subtract 63 from both sides:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-16x=-63 ALIGN=MIDDLE  ALT=\"x%5E2-16x=-63\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "Now we will force the left side of the equation to become a perfect square.  We will do this by taking half of the B coefficient, squaring it and then adding the result to both sides:\r<BR>\n" );
document.write( "\n" );
document.write( "Half of 16 is 8 and 8 squared is 64---add this to both sides:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-16x%2B64=-63%2B64 ALIGN=MIDDLE  ALT=\"x%5E2-16x%2B64=-63%2B64\"   DISABLED_style= \"max-width:90%; height:auto;\" > Note that the left side is a perfect square:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-8%29%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-8%29%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " take square root of both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-8%29=0%2B-sqrt%281%29 ALIGN=MIDDLE  ALT=\"%28x-8%29=0%2B-sqrt%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8%2B-sqrt%281%29 ALIGN=MIDDLE  ALT=\"x=8%2B-sqrt%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8-1 ALIGN=MIDDLE  ALT=\"x=8-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------------------------ans<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8%2B1 ALIGN=MIDDLE  ALT=\"x=8%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------------------ans\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E2-16%2A7%2B63=0 ALIGN=MIDDLE  ALT=\"7%5E2-16%2A7%2B63=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49-112%2B63=0 ALIGN=MIDDLE  ALT=\"49-112%2B63=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-63%2B63=0 ALIGN=MIDDLE  ALT=\"-63%2B63=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Also\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5E2-16%2A9%2B63=0 ALIGN=MIDDLE  ALT=\"9%5E2-16%2A9%2B63=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81-144%2B63=0 ALIGN=MIDDLE  ALT=\"81-144%2B63=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-63%2B63=0 ALIGN=MIDDLE  ALT=\"-63%2B63=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );