document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291562>Question 291562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two airplanes depart simultaneously from an airport. One flies due North; the other flies due west at a rate 25m/h slower than the first airplane. After 3 hours, radar indicates that the airplanes are 1000miles apart. What is the ground speed of each airplane?<BR>\n" );
document.write( "I got the equation: 18r^2-450r-994375=0<BR>\n" );
document.write( "I need to solve the equation to get the answer, but I can't figure it out with the big numbers.<BR>\n" );
document.write( "Thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210806 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=210806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> r*t=d<BR>\n" );
document.write( "(3x)^2+(3*(x-25))^2=1000^2<BR>\n" );
document.write( "Avoiding such large numbers<BR>\n" );
document.write( "9*(2x^2-50x+625) = 1000000<BR>\n" );
document.write( "divide by 9<BR>\n" );
document.write( "The answer is not pretty.<BR>\n" );
document.write( "x = 25/6*(3-sqrt(3191))<BR>\n" );
document.write( "x = 25/6*(3+sqrt(3191)) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );