document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696758>Question 696758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 16x^2-24x-13=0 solve by the method of completing the squares </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429278 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=429278\">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=+16x%5E2+-+24x-13=0+ ALIGN=MIDDLE  ALT=\"+16x%5E2+-+24x-13=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16x%5E2+-+24x+=+13+ ALIGN=MIDDLE  ALT=\"+16x%5E2+-+24x+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16+ ALIGN=MIDDLE  ALT=\"+16+\"   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+-+%283%2F2%29%2Ax+=+13%2F16+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+%283%2F2%29%2Ax+=+13%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take 1/2 of the co-efficient of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > term,<BR>\n" );
document.write( "square it, then add it to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+%283%2F2%29%2Ax+%2B+%28+-3%2F4+%29%5E2+=+13%2F16+%2B+%28+-3%2F4+%29%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+%283%2F2%29%2Ax+%2B+%28+-3%2F4+%29%5E2+=+13%2F16+%2B+%28+-3%2F4+%29%5E2+\"   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+-+%283%2F2%29%2Ax+%2B+%28+-3%2F4+%29%5E2+=+13%2F16+%2B+%28+-3%2F4+%29%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+%283%2F2%29%2Ax+%2B+%28+-3%2F4+%29%5E2+=+13%2F16+%2B+%28+-3%2F4+%29%5E2+\"   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+-+%283%2F2%29%2Ax+%2B+9%2F16+=+13%2F16+%2B+9%2F16+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+%283%2F2%29%2Ax+%2B+9%2F16+=+13%2F16+%2B+9%2F16+\"   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+-+%283%2F2%29%2Ax+%2B+9%2F16+=+22%2F16+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+%283%2F2%29%2Ax+%2B+9%2F16+=+22%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+3%2F4+%29%5E2+=+22%2F%284%5E2%29+ ALIGN=MIDDLE  ALT=\"+%28+x+-+3%2F4+%29%5E2+=+22%2F%284%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides. The left side is a perfect square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+3%2F4+=+sqrt%2822%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+-+3%2F4+=+sqrt%2822%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "The solutions are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+3+%2B+sqrt%2822%29+%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+3+%2B+sqrt%2822%29+%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+3+-+sqrt%2822%29+%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+3+-+sqrt%2822%29+%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "check the answers:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+3+%2B+sqrt%2822%29+%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+3+%2B+sqrt%2822%29+%29+%2F+4+\"   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+=+%28+9+%2B+6%2Asqrt%2822%29+%2B+22+%29+%2F+16+ ALIGN=MIDDLE  ALT=\"+x%5E2+=+%28+9+%2B+6%2Asqrt%2822%29+%2B+22+%29+%2F+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16x%5E2+-+24x+-13+=+0+ ALIGN=MIDDLE  ALT=\"+16x%5E2+-+24x+-13+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16%2A%28++%28+9+%2B+6%2Asqrt%2822%29+%2B+22+%29+%2F+16+%29+-+24%2A%28+%28+3+%2B+sqrt%2822%29+%29+%2F+4+%29+-+13+=+0+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+%2B+6%2Asqrt%2822%29+%2B+22++-+6%2A%28+3+%2B+sqrt%2822%29+%29+-+13+=+0+ ALIGN=MIDDLE  ALT=\"+9+%2B+6%2Asqrt%2822%29+%2B+22++-+6%2A%28+3+%2B+sqrt%2822%29+%29+-+13+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+%2B+22+-+18+-+13+%2B+6%2Asqrt%2822%29+-+6%2Asqrt%2822%29++=+0+ ALIGN=MIDDLE  ALT=\"+9+%2B+22+-+18+-+13+%2B+6%2Asqrt%2822%29+-+6%2Asqrt%2822%29++=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+31+-+31+%2B+6%2Asqrt%2822%29+-+6%2Asqrt%2822%29++=+0+ ALIGN=MIDDLE  ALT=\"+31+-+31+%2B+6%2Asqrt%2822%29+-+6%2Asqrt%2822%29++=+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;\" ><BR>\n" );
document.write( "---------<BR>\n" );
document.write( "You can check the other solution<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );