a^2b+b^2c+c^2a is symmetric equation?how to solve it
2006-08-30 17:05:47 · 5 answers · asked by regijanu 3 in Science & Mathematics ➔ Mathematics
A symmetric *expression* is one that stays the same whenever the variables are interchanged. For example, your expression stays the same if a is replaced by b, b by c, and c by a. But it is not the same if a and b are interchanged. So it is not fully symmetric.
2006-08-31 01:08:01 · answer #1 · answered by mathematician 7 · 1⤊ 0⤋
It is NOT an equation, at all!
An equation has to have two sides, in the form:
"Something = Something". Then it could be solved.
Indeed above is a Symmetric Expression (or Symmetric Polynomial in a, b, and c). Solving an expression (or polynomial) is meaningless.
There are many Symmetric Equations. One such example could be:
A function of (x, y, z) = Another function of (y, z, x).
P.S.: In Mathematics it is customary to denote unknowns to be solved by letters x, y or z (last few letters of the alphabet) and a, b, c (first few letters of the alphabet) by known quantities or constants.
2006-08-31 00:26:33 · answer #2 · answered by quidwai 4 · 0⤊ 1⤋
An equation has an = sign in it. And unless you give some values to us, there is no way to solve that.
2006-08-31 00:11:23 · answer #3 · answered by J.T. 2 · 0⤊ 0⤋
http://www.math.ucla.edu/~ronmiech/Calculus_Problems/32A/chap11/section5/716d7/716_7.html
http://citeseer.ist.psu.edu/henrion97symmetric.html
2006-08-31 00:07:31 · answer #4 · answered by lefemdotcom 2 · 0⤊ 0⤋
symmerric??? is that a word??
2006-08-31 00:14:07 · answer #5 · answered by soberly challenged 1 · 0⤊ 1⤋