document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058289>Question 1058289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hikers Mario and Evan start out at the same point. Mario walks due North for x miles. In the same amount of time, Evan, going due east, walks one mile further than Mario walked. When they stop, the distance between the hikers is 2 miles more than the distance walked by Mario. How far did each hiker walk? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673368 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= distance walked by Mario, in miles<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1 ALIGN=MIDDLE  ALT=\"x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >= distance walked by Evan<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= distance between Mario and Evan at the end of their walks.<BR>\n" );
document.write( "The 3 distances above are the lengths of the sides of a triangle.<BR>\n" );
document.write( "Since Mario and Evan walked in directions perpendicular to each other,<BR>\n" );
document.write( "their walks are the legs of a right trisngle,<BR>\n" );
document.write( "and the  final distance between them is the hypotenuse of that triangle.<BR>\n" );
document.write( "According to the Pythagorean theorem,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%2B1%29%5E2=%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%2B1%29%5E2=%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2%2B2x%2B1=x%5E2%2B4x%2B4 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2%2B2x%2B1=x%5E2%2B4x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B2x%2B1=x%5E2%2B4x%2B4 ALIGN=MIDDLE  ALT=\"2x%5E2%2B2x%2B1=x%5E2%2B4x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-3=0 ALIGN=MIDDLE  ALT=\"x%5E2-2x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the only positive solution,<BR>\n" );
document.write( "so Mario walked <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283+miles%29 ALIGN=MIDDLE  ALT=\"highlight%283+miles%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=highlight%284%29 ALIGN=MIDDLE  ALT=\"x%2B1=highlight%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of miles walked by Evan.<BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTE:<BR>\n" );
document.write( "The triangle is a 3-4-5 triangle,<BR>\n" );
document.write( "the most popular right triangle with whole number side lengths,<BR>\n" );
document.write( "and the only one with where the long leg and hypotenuse<BR>\n" );
document.write( "are longer than the short leg by 1 and 2 units respectively<BR>\n" );
document.write( "(as proven above).<BR>\n" );
document.write( "Knowing that, no calvulation is needed,<BR>\n" );
document.write( "which would be helpful if this was a multiple choice question. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );