document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760858>Question 760858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i put this hyperbola in to standard form of ((x-h)^2/a^2)-((y-k)^2/b^2)=1 by completing the square<BR>\n" );
document.write( "36x^2-y^2-24x+6y-91=0<BR>\n" );
document.write( "i know i have to group the x's and y's but when i group the x's (36x^2-24x) how do i make 36x^2 just x^2 because i factored out 12 to get 12(3x^2-2x) but the 3 in from of the x^2 is really confusing me please help :( asap Thank youuu <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462887 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=462887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x%5E2-y%5E2-24x%2B6y-91=0 ALIGN=MIDDLE  ALT=\"36x%5E2-y%5E2-24x%2B6y-91=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x%5E2-24x-y%5E2%2B6y=91 ALIGN=MIDDLE  ALT=\"36x%5E2-24x-y%5E2%2B6y=91\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2836x%5E2-24x%29-%28y%5E2-6y%29=91 ALIGN=MIDDLE  ALT=\"%2836x%5E2-24x%29-%28y%5E2-6y%29=91\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now DIVIDE the x expression by 36 and indicate a factor of 36 applied to the x expression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%28x%5E2-%2824%2F36%29x%29-%28y%5E2-6y%29=91 ALIGN=MIDDLE  ALT=\"36%28x%5E2-%2824%2F36%29x%29-%28y%5E2-6y%29=91\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%28x%5E2-%282%2F3%29x%29-%28y%5E2-6y%29=91 ALIGN=MIDDLE  ALT=\"36%28x%5E2-%282%2F3%29x%29-%28y%5E2-6y%29=91\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The missing square term for the x part is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F%282%2A3%29%29%5E2=1%2F9 ALIGN=MIDDLE  ALT=\"%282%2F%282%2A3%29%29%5E2=1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "The missing square term for the y part is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2F2%29%5E3=9 ALIGN=MIDDLE  ALT=\"%286%2F2%29%5E3=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Watch the signs and factors very carefully when you ADD the square terms to both sides of the equation, because this can be the source of mistakes. </SPAN>\n" );
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