I have a nasty expression that solves for eigenvalues of pressure & shear waves propagating along an interface between 2 elastic media. There are many roots to this expression for eta, but many of them can be excluded because the material properties are both REAL & POSITIVE. I am very new to MAPLE & I am attempting to get it to solve for the roots where all of the other parameters meet the conditions of REAL & POSITIVE but I am not sure I am doing this correctly because MAPLE runs off to evaluation mode & takes so much memory my computer slows to a crawl & I terminate the evaluation. Do I need to be more patient or do you have suggestions where I can limit MAPLE to assess only for the cases I need. My thoughts are that MAPLE is attepting to assess all possible roots & that may not even be feasible even for a MONSTER computer. I have included my expression below:
![= alpha^2*sqrt(1-(alpha*eta/kappa[B])^2)*((2-eta^2)^2-4*sqrt(1-(eta/kappa)^2)*sqrt(1-eta^2))+mu[B]*sqrt(1-(eta/kappa)^2)*((2-(alpha*eta)^2)^2-4*sqrt(1-(alpha*eta/kappa[B])^2)*sqrt(1-(alpha*eta)^2))/mu](http://mapleoracles.maplesoft.com:8080/maplenet/primes/d04e0f502a4142877cd91b4f79d79711.gif)
