
Re: Terrible algebraic system
Posted:
Feb 24, 2012 6:01 AM


Am 24.02.2012 11:17, schrieb deltaquattro@gmail.com: > Hmmm! Tried following this approach, i.e. solving f(b)=0 with Netwon's and then plugging b in a=g(b), but it doesn't work. The solution doesn't satisfy the initial system. Try for example > > L=1 > U=1 > p=0.0013498980316301 > > I get > > a=1 > b=1 > > which clearly is wrong, i.e., a and b don't solve the initial system, even though f(b)=f(1)=0 and a=g(b)=g(1)=1. I rewrite the initial system here: > > ((aL)^2/a)*(2/(a+b))p=0 > ((bU)^2/b)*(2/(a+b))p=0 > > Am I doing something wrong, or is FriCAS/Derive solution wrong?
When L=U, you probably want p>1 to get a real result for a= (2 U + 2 p U +/ sqrt((1 + p) p^2 U^2))/((2 + p) (1 + p))

