document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329049>Question 329049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two ships leave one port, one sailing east and the other south. Some time later, they are 17 mies apart, with the eastbound ship 7 miles farther from the port than the southbound ship. How far is each from port? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235753 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let southbound ship be at x miles from port<BR>\n" );
document.write( "the other will be (x+7) miles from the port east.<BR>\n" );
document.write( "they form a right triangle<BR>\n" );
document.write( "x^2+(x+7)^2=17^2<BR>\n" );
document.write( "x^2+x^2+14x+49=289<BR>\n" );
document.write( "2x^2+14x=289-49<BR>\n" );
document.write( "2x^2+14x=240<BR>\n" );
document.write( "divide by 2<BR>\n" );
document.write( "x^2+7x=120<BR>\n" );
document.write( "x^2+7x-120=0<BR>\n" );
document.write( "x^2+15x-8x-120=0<BR>\n" );
document.write( "x(x+15)-8(x+15)=0<BR>\n" );
document.write( "(x+15)(x-8)=0<BR>\n" );
document.write( "x= -15 or x = 8 ignore negative value.<BR>\n" );
document.write( "x=8  miles south bound ship from port<BR>\n" );
document.write( "x+7 = 8+7 =15 miles distance of the east bound ship from port </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );