document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=688211>Question 688211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I put the equation in standard form? The vertices and the center of the equation are also needed: \r<BR>\n" );
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document.write( "-16x^2 - 4y^2 = 48x - 20y + 57 \r<BR>\n" );
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document.write( "I did try to solve it using completing the square but it didn't work out the correct way, because the numbers I came up with I was not able to factor them. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425702 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=425702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I put the equation in standard form? The vertices and the center of the equation are also needed: <BR>\n" );
document.write( "-16x^2 - 4y^2 = 48x - 20y + 57<BR>\n" );
document.write( "-16x^2 - 4y^2 = 48x - 20y + 57<BR>\n" );
document.write( "16x^2+48x+4y^2-20y=-57<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "16(x^2+3x+9/4)+4(y^2-5y+25/4=-57+36+25<BR>\n" );
document.write( "16(x+3/2)^2+4(y+5/2)^2=4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%2B3%2F2%29%5E2%2B%28y-5%2F2%29%5E2=1 ALIGN=MIDDLE  ALT=\"4%28x%2B3%2F2%29%5E2%2B%28y-5%2F2%29%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of an ellipse with vertical major axis.<BR>\n" );
document.write( "Its standard form:<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;\" >,a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "center: (-3/2,5/2)<BR>\n" );
document.write( "a^2=1<BR>\n" );
document.write( "a=1<BR>\n" );
document.write( "vertices=(-3/2,5/2±a)=(-3/2,5/2±1)=(-3/2,3/2) and (-3/2,7/2) </SPAN>\n" );
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