document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107118>Question 107118</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321437266/algebrahomeworkh>Begining Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A train and a car leave a station at the same time. The train travels due north and the car travels due west. When thy are 100 miles apart, the train has traveled 20 miles further that the car traveled. Find the distance each has traveled. (right triangle) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77969 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a=x+20, b=x, c=100<BR>\n" );
document.write( "a^2+b^2=c^2<BR>\n" );
document.write( "(x+20)^2+x^2=100^2<BR>\n" );
document.write( "x^2+40x+400+x^2-100^2=0<BR>\n" );
document.write( "2x^2+40x+400-10000=0<BR>\n" );
document.write( "2x^2+40x-9600=0<BR>\n" );
document.write( "2(x^2+20x-4800)=0<BR>\n" );
document.write( "2(x-60)(x+80)=0<BR>\n" );
document.write( "x=-80 is not an answer. (negative)<BR>\n" );
document.write( "x=60 mi (car)<BR>\n" );
document.write( "x+20=80 mi (train)<BR>\n" );
document.write( "Always check:<BR>\n" );
document.write( "60^2+80^2=100^2<BR>\n" );
document.write( "3600+6400=10000 true<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );