document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170012>Question 1170012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this equation : 4(x+3)^2+49(y-4)^2=196 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #794885 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=794885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "NOTE: You are not \"solving\" the equation.  You are putting it in some standard form so you can identify the conic section the equation represents.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%2B3%29%5E2%2B49%28y-4%29%5E2+=+196 ALIGN=MIDDLE  ALT=\"4%28x%2B3%29%5E2%2B49%28y-4%29%5E2+=+196\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The equation contains x^2 and y^2 terms, both positive -- so the equation is that of an ellipse.<br><BR>\n" );
document.write( "The standard form of the equation of an ellipse is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > if the major axis is horizontal, or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > if the major axis is vertical<br><BR>\n" );
document.write( "To get the given equation in standard form, we only need to get \"1\" on the right side, by dividing everything by 196:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%2B3%29%5E2%2F196%2B49%28y-4%29%5E2%2F196+=+1 ALIGN=MIDDLE  ALT=\"4%28x%2B3%29%5E2%2F196%2B49%28y-4%29%5E2%2F196+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2%2F49%2B%28y-4%29%5E2%2F4+=+1 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2%2F49%2B%28y-4%29%5E2%2F4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%28-3%29%29%5E2%2F7%5E2%2B%28y-4%29%5E2%2F2%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x-%28-3%29%29%5E2%2F7%5E2%2B%28y-4%29%5E2%2F2%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The equation is of an ellipse with center (-3,4), major axis 7, and minor axis 2.<br>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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