document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711965>Question 711965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find a polynomial equation with integer coefficients for the set of coplanar points described;<BR>\n" );
document.write( "each point is twice as far from the line x=3 as it is from the line y =-2\r<BR>\n" );
document.write( "\n" );
document.write( "also;<BR>\n" );
document.write( "is the graph a conic section, if so what section? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437685 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=437685\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find a polynomial equation with integer coefficients for the set of coplanar points described;<BR>\n" );
document.write( "each point is twice as far from the line x=3 <BR>\n" );
document.write( "as it is from the line y =-2<BR>\n" );
document.write( "------ <BR>\n" );
document.write( "also;<BR>\n" );
document.write( "is the graph a conic section, if so what section?<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Let the points on x = 3 be (3,y)<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Let the points on y = -2 be (x,-2)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(x,y)'s distance from (3,y) = 2*(x,y)'s distance from (x,-2)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "sqrt[(x-3)^2 + 0] = 2*sqrt[0 + (y-2)^2]<BR>\n" );
document.write( "(x-3)^2 = 4(y-2)^2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(x-3)^2/4 - (y-2)^2 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );