# Math

posted by
**Pete**
.

Find the sum of all integers c, such that for some integers a and b satisfying a<b<c,

a(b−c)^4+b(c−a)^4+c(a−b)^4=836

posted by
**Pete**
.

Find the sum of all integers c, such that for some integers a and b satisfying a<b<c,

a(b−c)^4+b(c−a)^4+c(a−b)^4=836