document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=840288>Question 840288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two ships start out the same point.  One ship travels X miles directly due east, and the other ship travels X miles directly due south. The ship that is traveling to the East travels another 7 miles in the easterly direction, while the other, southerly traveling ship, travels an additional 15 miles south, in the same period of time.  What distance X did the ships travel initially, if there distance from each other in the end is 51.22 miles?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #506097 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=506097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Two ships start out the same point.<BR>\n" );
document.write( " One ship travels X miles directly due east, and the other ship travels X miles directly due south.<BR>\n" );
document.write( " The ship that is traveling to the East travels another 7 miles in the easterly direction, while the other, southerly traveling ship, travels an additional 15 miles south, in the same period of time.<BR>\n" );
document.write( " What distance X did the ships travel initially, if there distance from each other in the end is 51.22 miles?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use pythag; a^2 + b^2 = c^2, where<BR>\n" );
document.write( "a = (x+7)<BR>\n" );
document.write( "b = (x+15)<BR>\n" );
document.write( "c = 51.22<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(x+7)^2 + (x+15)^2 = 51.22^2  <BR>\n" );
document.write( "FOIL, square 51.22<BR>\n" );
document.write( "x^2 + 14x + 49 + x^2 + 30x + 225 = 2623.5<BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "2x^2 + 44x + 49 + 225 - 2623.5 = 0<BR>\n" );
document.write( "a quadratic equation<BR>\n" );
document.write( "2x^2 + 44x - 2349.5 = 0<BR>\n" );
document.write( "Using the quadratic formula, a positive solution round out to:<BR>\n" );
document.write( "x = 25 mi<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this, ship one traveled 32 mi, ship two traveled 40 mi<BR>\n" );
document.write( "Using a calc <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2832%5E2+%2B+40%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2832%5E2+%2B+40%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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