document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076100>Question 1076100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this by COMPLETING THE SQUARE<BR>\n" );
document.write( "28x-2x^2=26\r<BR>\n" );
document.write( "\n" );
document.write( "I got no real solution. This is what I did, please correct me.\r<BR>\n" );
document.write( "\n" );
document.write( "-2x^2+28x=26<BR>\n" );
document.write( "(28/2)^2=196<BR>\n" );
document.write( "-2x^2+28x+196=26+196<BR>\n" );
document.write( "since you cannot take the square root of a negative, i got no real solution<BR>\n" );
document.write( " <BR>\n" );
document.write( "&#8730;-2x^2 = no real solutions\r<BR>\n" );
document.write( "\n" );
document.write( "Please help me, I am very confused. Thank you in advance, Emily </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690787 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28x-2x%5E2=26+ ALIGN=MIDDLE  ALT=\"28x-2x%5E2=26+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....move all terms from the left to the right\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=2x%5E2-28x%2B26+ ALIGN=MIDDLE  ALT=\"0=2x%5E2-28x%2B26+\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........group\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%282x%5E2-28x%29%2B26+ ALIGN=MIDDLE  ALT=\"0=%282x%5E2-28x%29%2B26+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   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=0=2%28x%5E2-14x%29%2B26+ ALIGN=MIDDLE  ALT=\"0=2%28x%5E2-14x%29%2B26+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........recall <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; so, we need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > part to complete our square\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=2%28x%5E2-14x%2Bb%5E2%29+-2%2Ab%5E2%2B26+ ALIGN=MIDDLE  ALT=\"0=2%28x%5E2-14x%2Bb%5E2%29+-2%2Ab%5E2%2B26+\"   DISABLED_style= \"max-width:90%; height:auto;\" >........since  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ab=14 ALIGN=MIDDLE  ALT=\"2ab=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we use it to calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   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=2ab=14 ALIGN=MIDDLE  ALT=\"2ab=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A1b=14 ALIGN=MIDDLE  ALT=\"2%2A1b=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=14%2F2 ALIGN=MIDDLE  ALT=\"b=14%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=7 ALIGN=MIDDLE  ALT=\"b=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "plug it in\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=2%28x%5E2-14x%2B7%5E2%29+-2%2A7%5E2%2B26+ ALIGN=MIDDLE  ALT=\"0=2%28x%5E2-14x%2B7%5E2%29+-2%2A7%5E2%2B26+\"   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=0=2%28x-7%29%5E2-2%2A49%2B26+ ALIGN=MIDDLE  ALT=\"0=2%28x-7%29%5E2-2%2A49%2B26+\"   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=0=2%28x-7%29%5E2-98%2B26+ ALIGN=MIDDLE  ALT=\"0=2%28x-7%29%5E2-98%2B26+\"   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=0=2%28x-7%29%5E2+-72+ ALIGN=MIDDLE  ALT=\"0=2%28x-7%29%5E2+-72+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );