document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=695975>Question 695975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "My Son as these two equations that we can not get the right answers needed. Both of them have to do with finding the center point and then plot them to a graph. We would be sure glad if one of you could give us a helping hand and see our mistakes.\r<BR>\n" );
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document.write( "The first one is X^2 + Y^2 - 20X + 24Y + 100 = 0\r<BR>\n" );
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document.write( "Our work is this X2 + Y2 - 20X + 24Y = - 100<BR>\n" );
document.write( "                 X2 - 20X + Y2 + 24y = - 100<BR>\n" );
document.write( "                 Y2 + 24Y = 0<BR>\n" );
document.write( "                (X - 10)2 + (Y + 12)2 + 144 = 100<BR>\n" );
document.write( "                (X - 10)2 + (Y + 12)2 = + 144<BR>\n" );
document.write( "               center is (10, -12) on the graph \r<BR>\n" );
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document.write( "The next one is X^2 + Y^2 + 8X - 16Y - 20 = 0\r<BR>\n" );
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document.write( "Again our work X2 + 8X + Y2 - 16Y - 20<BR>\n" );
document.write( "               (X + 4)2 + (Y - 8)2 = 160<BR>\n" );
document.write( "               center is (-4, 8) on the graph \r<BR>\n" );
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document.write( "Half a change if one of them are right We have no idea? \r<BR>\n" );
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document.write( "Thanks for your help\r<BR>\n" );
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document.write( "Kevin<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428739 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Everything is correct except for the constant term in your second equation.  Should be 20 from the original constant plus 16 from completing the square on x plus 64 from completing the square on y for a total of 100.  Hence your radius for the second equation is 10.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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