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x marks the spot (Canterbury) Mystery Cache

Hidden : 9/2/2010
Difficulty:
4 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

Cache is within 3km of the X marked on the map. Solve the equation below to find the cache location.

This the first of a series of mathematical puzzle caches to celebrate my 200th find, "Sumthing" GC1HEP8. Now I feel I'm qualified to unleash a few myself

Solve for x:

x^2 - 72.826 x + 2170 = 0

Where x marks the spot.

Wiki has all the maths you will need.

The final is in a high muggle area. The hiding spot is clearly visible from 20m or more, so take the time to identify your target from a distance. The cache itself is a simple grab in an obvious spot, but stealth will be required.

Please be sure to put the cache back as you found it, so that other cachers do not spend too much time in a protracted search of the area.

Please take care around the busy road and the other obvious local hazards.

Cache container is a small glass spice jar, about the size of 2 film canisters on end.

When placed cache contained:
- Log and cache note
- Pencil

There is no room for swaps

Additional Hints (Decrypt)

[Puzzle] Fbzrgvzrf gurer'f ab erny fbyhgvba. [Puzzle: (g=s) Eizpfzhuo] [Cache] Va gur gvgyr

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)