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January 21, 2017
Posted by **Ellen** on Wednesday, December 26, 2012 at 8:51pm.

- Pre Calc 12 -
**Steve**, Thursday, December 27, 2012 at 5:12amlet the numbers be

x-1 x x+1 x+2

then

x(x-1)(x+1)(x+2) = 360

since the numbers are all about equal, and since 256 = 4^4, I'd say the numbers are

3,4,5,6

algebraically,

x^4+2x^3-x^2-2x-360 = 0

you know the roots are all factors of 360, and you'd like to try numbers near 4, some synthetic division will quickly show that the solutions are 3,4,5,6.