document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153673>Question 153673</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072855436/algebrahomeworkh>elementary and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I'm, stuck can you help? #80. Buried Treasure. Ahmed has 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 get to 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 #113116 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=113116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ahmed has 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 get to 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? <BR>\n" );
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document.write( "To see the problem draw an x/y coordinate system.<BR>\n" );
document.write( "Put Castle Rock (CR) at the intersection of the x and y axis.<BR>\n" );
document.write( "Mark a point \"x\" up the vertical axis from CR.<BR>\n" );
document.write( "From that point mark a point 2x+4 to the right.<BR>\n" );
document.write( "Use Pythagoras to find the distance that point is from CR:<BR>\n" );
document.write( "d = sqrt(x^2 + (2x+4)^2) = sqrt(5x^2+16x+16)<BR>\n" );
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document.write( "That point is also 2x+6 from CR according to Ahmed's map.<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "sqrt(5x^2 + 16x + 16) = 2x+6<BR>\n" );
document.write( "5x^2 + 16x + 16 = 4x^2+ 24x + 36<BR>\n" );
document.write( "x^2 - 8x -20 = 0<BR>\n" );
document.write( "(x-10)(x+2) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 10<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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