document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190071>Question 190071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the center of the ellipse 16x^2 + 25y^2 + 32x - 150y = 159 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142636 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=142636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the center of the ellipse 16x^2 + 25y^2 + 32x - 150y = 159<BR>\n" );
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document.write( "Complete the square on the x-terms and the y-terms separately:<BR>\n" );
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document.write( "16(x^2 + 2x + ?) + 25(y^2-6y+?) = 159 + ? + ?<BR>\n" );
document.write( "16(x^2 + 2x + 1) + 25(y^2 -6y + 9) = 159 +16*1 + 25*9<BR>\n" );
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document.write( "16(x+1)^2 + 25(y-3)^2 = 400<BR>\n" );
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document.write( "Center: (-1,3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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