document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=606756>Question 606756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the conic in standard form.\r<BR>\n" );
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document.write( "y^2-x^2+2y-14x-57=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382218 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=382218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the conic in standard form. <BR>\n" );
document.write( "y^2-x^2+2y-14x-57=0<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "(y^2+2y+1)-(x^2+14x+49)=57+1-49<BR>\n" );
document.write( "(y+1)^2-(x+7)^2=9<BR>\n" );
document.write( "(y+1)^2/9-(x+7)^2/9=1<BR>\n" );
document.write( "This is an equation of a hyperbola with vertical transverse axis.<BR>\n" );
document.write( "Its standard form of equation: (y-k)^2/a^2-(x-h)^2=1, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given equation: (y+1)^2/9-(x+7)^2/9=1<BR>\n" );
document.write( "center: (-7,-1)<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "b^2=9 </SPAN>\n" );
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