document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165412>Question 165412</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395771188/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Two ships leave port, one sailing east and the other south. Some time later they are 17 mi apart, with the eastbound ship 7 mi farther from 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 #121911 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=121911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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+49-289=0<BR>\n" );
document.write( "2x^2+14x-240=0<BR>\n" );
document.write( "2(x^2+7x-120)=0<BR>\n" );
document.write( "2(x-8)(x+15)=0<BR>\n" );
document.write( "x-8=0<BR>\n" );
document.write( "x=8 miles for the slowest ship.<BR>\n" );
document.write( "8+7=15 miles for the faster ship.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "8^2+15^2=289<BR>\n" );
document.write( "64+225=289<BR>\n" );
document.write( "289=289\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );