Nonlinear Simultaneous equations: c/a+b/c+a=0, a/b+c/a+b=0, b/c+a/b+c=0

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vader174

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[h=1]Can you help me with this?
c/a+b/c+a=0
a/b+c/a+b=0
b/c+a/b+c=0
a,b,c are real numbers.[/h]
 
It is not much. I am sure that a,b,c<0. I tried to subtract one equation from the other and also multiply them by ab, bc, ac before subtraction. I do not know what else I can do.
 
I am sure that a,b,c<0. I tried to subtract one equation from another and multiply them by ab, bc, ca and then subtract one from another. But I do not know what else I can do.
 
Subhotosh Khan said:
What are your thoughts? Please share with us
Click to expand...
I know that a,b,c<0. I tried to subtract one equation from another, Also I multiplied them by ab,bc,ac and then subtract one from another but it really gave me nothing. I do not know what else I can do.
 
Seeing that the three equations are all just permutations of a, b, and c, my first thought would be to look for a solution where a= b= c.

(Why was this posted under "differential equations"?)
 
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