document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=759284>Question 759284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Change from general to standard form\r<BR>\n" );
document.write( "\n" );
document.write( "4x^2 + y^2 - 8x - 2y + 1 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462045 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=462045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Change from general to standard form <BR>\n" );
document.write( "4x^2 + y^2 - 8x - 2y + 1 = 0<BR>\n" );
document.write( "4x^2 - 8x + y^2 - 2y + 1 = 0<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "4(x^2-2x+1)+(y^2-2y+1) =-1+4+1<BR>\n" );
document.write( "4(x-1)^2+(y-1)^2=4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2B%28y-1%29%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2B%28y-1%29%5E2%2F4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of an ellipse with vertical major axis and center at (1,1)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );