document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60821>Question 60821</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>Elementry and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Help find the treasure.....please...\r<BR>\n" );
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document.write( "Is this (2x+6)=2x+4/x<BR>\n" );
document.write( "or 1/2x+6+2x+4=1\r<BR>\n" );
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document.write( "Ahmed has first half of a treasure map, which indicates that the treasure is buried in the desert (2x + 6) paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must go to the Castle Rock, walk ‘x’ paces to the North, and then walk (2x + 4) paces to the East. If they share their information, then they can find ‘x’ and save a lot of digging. What is ‘x’?	 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41785 by </B><A HREF=/tutors/aboutme.mpl?userid=hayek><B>hayek(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hayek><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=41785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Vanessa's portion tells us: \"walk ‘x’ paces to the North, and then walk (2x + 4) paces to the East [from castle rock]\" suggests a right-triangle with sides x and (2x+4).  So the distance from castle rock that you would walk if you went straight to the treasure is given by the pythagorean theorem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%282x%2B4%29%5E2%2Bx%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%282x%2B4%29%5E2%2Bx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Ahmed's portion says the distance from castle rock that you would walk if you went straight there is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B6 ALIGN=MIDDLE  ALT=\"2x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, set those two equal to each other and solve for x:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%282x%2B4%29%5E2%2Bx%5E2%29=2x%2B6%29 ALIGN=MIDDLE  ALT=\"sqrt%28%282x%2B4%29%5E2%2Bx%5E2%29=2x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B4%29%5E2%2Bx%5E2=%282x%2B6%29%5E2 ALIGN=MIDDLE  ALT=\"%282x%2B4%29%5E2%2Bx%5E2=%282x%2B6%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=4x%5E2%2B16x%2B16%2Bx%5E2=4x%5E2%2B24x%2B36 ALIGN=MIDDLE  ALT=\"4x%5E2%2B16x%2B16%2Bx%5E2=4x%5E2%2B24x%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x-20=0 ALIGN=MIDDLE  ALT=\"x%5E2-8x-20=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-10%29%28x%2B2%29=0 ALIGN=MIDDLE  ALT=\"%28x-10%29%28x%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Assuming x must be positive (otherwise the treasure map is quite misleading), the answer is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=10%29 ALIGN=MIDDLE  ALT=\"highlight%28x=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );