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	<title>Comments on: Difficult word problem i can&#8217;t figure out.?</title>
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	<description>the value of gold is going up!</description>
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		<title>By: Joe</title>
		<link>http://goldrevenue.com/treasure-hunting/difficult-word-problem-i-cant-figure-out/comment-page-1/#comment-8902</link>
		<dc:creator>Joe</dc:creator>
		<pubDate>Sat, 07 Aug 2010 20:17:50 +0000</pubDate>
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		<description>This forms a right angle triangle with sides of:  x,  2x+4, and 2x+6 (your hypotnuse)

a^2 + b^2 = c^2

so sub in:
x^2 + (2x+4)^2 = (2x+6)^2
x^2 + (4x^2+16x+16) = 4x^2 +24x+36
5x^2 + 16x +16 = 4x^2 + 24x + 36
x^2 - 8x - 20 = 0
(x-10) (x+2) = 0
x = 10, -2

but -2 means you&#039;re taking steps backwards...so we discard that answer and just use 10.
sub in and solve:

2x+6 = 2(10)+6 = 26 pace from Castle Rock.
good luck

An experienced Neopets player myself.</description>
		<content:encoded><![CDATA[<p>This forms a right angle triangle with sides of:  x,  2x+4, and 2x+6 (your hypotnuse)</p>
<p>a^2 + b^2 = c^2</p>
<p>so sub in:<br />
x^2 + (2x+4)^2 = (2x+6)^2<br />
x^2 + (4x^2+16x+16) = 4x^2 +24x+36<br />
5x^2 + 16x +16 = 4x^2 + 24x + 36<br />
x^2 &#8211; 8x &#8211; 20 = 0<br />
(x-10) (x+2) = 0<br />
x = 10, -2</p>
<p>but -2 means you&#8217;re taking steps backwards&#8230;so we discard that answer and just use 10.<br />
sub in and solve:</p>
<p>2x+6 = 2(10)+6 = 26 pace from Castle Rock.<br />
good luck</p>
<p>An experienced Neopets player myself.
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