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Math Challenge #2: Polynomial Equations Mystery Cache

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Hidden : 12/28/2009
Difficulty:
3 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

The cache is not at the coordinates listed above.



GOT MATH? For some solving a math problem is like listening to wonderful music; it brings pleasure to the very core of their being. For others solving a math problem brings on headaches and nausea. If you are one of the former, then enjoy the task presented below. If you are one of the latter, then phone a friend!

Your task is to solve the 6th order polynomial equation:


There are six roots for the equation. The roots are all real integer values.

Once you have the six roots, list them from the largest negative value up to the largest positive value, and assign the letters A, B, C, D, E and F to the six values.

The cache is at:

N 44 x and W 68 y

where x = (61A - 267B - 106C + 681D + 483E + 222F)/1000

and y = (52A + 108B - 308C + 983D + 277E + 193F)/1000

You can check your answers for this puzzle on Geochecker.com.



Congratulations to cano for FTF.

Additional Hints (Decrypt)

Abar arrqrq. Gurer vf bayl bar rdhngvba gb fbyir; ubj qvssvphyg pna vg or?

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)