document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055157>Question 1055157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What's the distance between the parabola y = x^2+4 and x = y^2 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670358 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=670358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  What's the distance between the parabola y = x^2+4 and x = y^2 ? <BR>\n" );
document.write( "----<BR>\n" );
document.write( "General points::<BR>\n" );
document.write( "Parabola points:: (x, x^2+4)<BR>\n" );
document.write( "Parabola points:: (y^2, y)<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "distance = sqrt[(x-y)^2 + (x^2+4-y)^2]<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "distance = sqrt[x^2 - 2xy + y^2 + (x^2+4)^2 - 2y(x^2+4) + y^2]<BR>\n" );
document.write( "-----]<BR>\n" );
document.write( "distance = sqrt[x^2 - 2xy + y^2 + x^4 + 8x^2 + 16 - 2x^2y - 8y + y^2]<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "distance = sqrt[x^4 + 9x^2 -2xy - 2x^2y + 2y^2 - 2y + 16]<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );