document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314018>Question 314018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> )  Two cars leave an intersection.  One car travels north; the other east.  When the car traveling north had gone 9 miles, the distance between the cars was 3 miles more than the distance traveled by the car heading east.  How far had the eastbound car traveled? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224566 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Two cars leave an intersection. One car travels north; the other east.<BR>\n" );
document.write( " When the car traveling north had gone 9 miles, the distance between the cars was<BR>\n" );
document.write( " 3 miles more than the distance traveled by the car heading east.<BR>\n" );
document.write( " How far had the eastbound car traveled?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = distance traveled by the eastbound car<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+3) = distance between the cars when the northbound car had traveled 9 mi<BR>\n" );
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document.write( "A pythag problem a^2 + b^2 = c^2<BR>\n" );
document.write( "where<BR>\n" );
document.write( "a = x<BR>\n" );
document.write( "b = 9<BR>\n" );
document.write( "c = (x+3)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x^2 + 9^2 = (x+3)^2<BR>\n" );
document.write( "x^2 + 81 = x^2 + 6x + 9<BR>\n" );
document.write( "Combine on the left<BR>\n" );
document.write( "x^2 - x^2 - 6x + 81 - 9 = 0<BR>\n" );
document.write( "-6x + 72 = 0<BR>\n" );
document.write( "-6x = -72<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-72%29%2F%28-6%29 ALIGN=MIDDLE  ALT=\"%28-72%29%2F%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +12 mi traveled by the eastbound car<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check: <BR>\n" );
document.write( "12^2 + 9^2 = 15^2 </SPAN>\n" );
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