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 #690793 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690793\">put this solution on YOUR website!</A><BR><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<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">First of all, you're INCORRECT. You should see that after FACTORING OUT a GCF,  2, you'll end up with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+-+14x+%2B+13 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+-+14x+%2B+13\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "This can be FACTORED to get roots/solutions/zeroes of x = 13, or x = 1.<BR>\n" );
document.write( "From this, it's clear that these will be your solutions, and they are REAL.<BR>\n" );
document.write( "You could have also used the DISCRIMINANT to see if it really has No real solutions. If you did. You'd see that it does have 2 REAL solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "Now that we know this, let's get to the solutions by COMPLETING the SQUARE.<BR>\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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+-+2%28-+14x+%2B+x%5E2%29+=+-+2%28-+13%29%2C+%22======%3E%22%2C+-+14x+%2B+x%5E2+=+-+13%29 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=x%5E2+-+14x+=+-+13 ALIGN=MIDDLE  ALT=\"x%5E2+-+14x+=+-+13\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------- Rearranging equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+14x+%2B+%28%281%2F2%29+%2A+-+14%29%5E2+=+-+13+%2B+%28%281%2F2%29+%2A+-+14%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+-+14x+%2B+%28%281%2F2%29+%2A+-+14%29%5E2+=+-+13+%2B+%28%281%2F2%29+%2A+-+14%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------- Taking <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+1%2F2%2C+of%2C+b%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C3%2C+1%2F2%2C+of%2C+b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, squaring it, and adding the result to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+14x+%2B+%28-+7%29%5E2+=+-+13+%2B+%28-+7%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+-+14x+%2B+%28-+7%29%5E2+=+-+13+%2B+%28-+7%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=%28x+-+7%29%5E2+=+-+13+%2B+49 ALIGN=MIDDLE  ALT=\"%28x+-+7%29%5E2+=+-+13+%2B+49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+7%29%5E2+=+36 ALIGN=MIDDLE  ALT=\"%28x+-+7%29%5E2+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x+-+7%29%5E2%29+=+%22+%22%2B-+sqrt%2836%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x+-+7%29%5E2%29+=+%22+%22%2B-+sqrt%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Taking the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+7+=+%22+%22%2B-+6 ALIGN=MIDDLE  ALT=\"x+-+7+=+%22+%22%2B-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > ======> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%22+%22%2B-+6+%2B+7 ALIGN=MIDDLE  ALT=\"x+=+%22+%22%2B-+6+%2B+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C15%2C+x%2C+%22=%22%2C+6+%2B+7%2C+%22=====%3E%22%2C+x%2C+%22=%22%2C+13%2C+OR%2C+x%2C+%22=%22%2C+-+6+%2B+7%2C+%22=====%3E%22%2C+x%2C+%22=%22%2C+1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );