document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=405860>Question 405860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> college algebra - completing the square<BR>\n" );
document.write( "would you help me finish this?  I wasn't sure what factors to pick out from 196 so I choose 4 times 49.  How do I choose what to use?\r<BR>\n" );
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document.write( "x^2-10x+24=0<BR>\n" );
document.write( "x=-10+-sqrt((-10)^2-4(1)(24))/2(1))<BR>\n" );
document.write( "x=10 +- sqrt((100-(-96))/2)<BR>\n" );
document.write( "x=10 +-sqrt((196)/(2)<BR>\n" );
document.write( "2sqrt(4(49))/2))<BR>\n" );
document.write( "sqrt(2^2(49))/(2)<BR>\n" );
document.write( "2+-sqrt49/2<BR>\n" );
document.write( "2(1+-sqrt49/2)<BR>\n" );
document.write( "1sqrt49\r<BR>\n" );
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document.write( "x=1sqrt49         right? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286586 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=286586\">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%5E2-10x%2B24=0 ALIGN=MIDDLE  ALT=\"x%5E2-10x%2B24=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here's how I do it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+10x+=+-24 ALIGN=MIDDLE  ALT=\"x%5E2+-+10x+=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take 1/2 of the coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, square it, and add it<BR>\n" );
document.write( "to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+10x+%2B+%28-10%2F2%29%5E2+=+%28-10%2F2%29%5E2+-+24 ALIGN=MIDDLE  ALT=\"x%5E2+-+10x+%2B+%28-10%2F2%29%5E2+=+%28-10%2F2%29%5E2+-+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+10x+%2B+25+=+25+-+24 ALIGN=MIDDLE  ALT=\"x%5E2+-+10x+%2B+25+=+25+-+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+5%29%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x+-+5%29%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+5+=+1 ALIGN=MIDDLE  ALT=\"x+-+5+=+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+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, also<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+5+=+-1 ALIGN=MIDDLE  ALT=\"x+-+5+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the other square root of 1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4 ALIGN=MIDDLE  ALT=\"x+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "from these, I get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-6+=+0 ALIGN=MIDDLE  ALT=\"x-6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4+=+0 ALIGN=MIDDLE  ALT=\"x-4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "The factors are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+6%29%2A%28x+-+4%29 ALIGN=MIDDLE  ALT=\"%28x+-+6%29%2A%28x+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );