document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=484659>Question 484659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you graph x squared + 10x + y squared + 20y -19 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #331830 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=331830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you graph x squared + 10x + y squared + 20y -19 = 0<BR>\n" );
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document.write( "x^2+10x+y^2+20y-19=0<BR>\n" );
document.write( "completing the square<BR>\n" );
document.write( "(x^2+10x+25)+(y^2+20y+100)=19+25+100=144<BR>\n" );
document.write( "(x+5)^2+(y+10)^2=144<BR>\n" );
document.write( "This is an equation of a circle of the standard form: (x-h)^2+(y-k)^2=r^2, with (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "Center: (-5,-10)<BR>\n" );
document.write( "Radius: &#8730;144=12<BR>\n" );
document.write( "see graph below as a visual check on the answers:<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=±(144-(x+5)^2)^.5-10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-20%2C+20%2C+-20%2C+20%2C%28144-%28x%2B5%29%5E2%29%5E.5-10%2C-%28144-%28x%2B5%29%5E2%29%5E.5-10%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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