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Hello,

I am kind of new to the sage and I would like to solve system of two nonlinear equations that look like this:

a,b,c,d = var('a,b,c,d')
solve([c==a(a/(a+2b))+2b(a/(a+b)),d==a(b/(a+2b))+b*(b/(a+b))],a,b)

I have an idea how the result looks like based on Wolfram alpha, but I would like to verify it using sage. The problem is, that sage only gives me anwer a=0 and b=0, which is clearly not the solution, because I would have divide by zero error. Do you have any ideas what to use or how to solve it? Thanks for all replies.

Hello,

I am kind of new to the sage and I would like to solve system of two nonlinear equations that look like this:

a,b,c,d = var('a,b,c,d') 
  solve([c==a(a/(a+2b))+2b(a/(a+b)),d==a(b/(a+2b))+b*(b/(a+b))],a,b)
solve([c==a*(a/(a+2*b))+2*b*(a/(a+b)),d==a*(b/(a+2*b))+b*(b/(a+b))],a,b)

Hello,

I am kind of new to the sage and I would like to solve system of two nonlinear equations that look like this:

a,b,c,d = var('a,b,c,d')  
solve([c==a*(a/(a+2*b))+2*b*(a/(a+b)),d==a*(b/(a+2*b))+b*(b/(a+b))],a,b)

I have an idea how the result looks like based on Wolfram alpha, but I would like to verify it using sage. The problem is, that sage only gives me anwer a=0 and b=0, which is clearly not the solution, because I would have divide by zero error. Do you have any ideas what to use or how to solve it? Thanks for all replies.