In a very simple case, Solve/Algsys (a) reports many
incorrect solutions and (b) misses all the parameterized
-- Define equations
eqs: [a+b+c=0, a*b*c=1]
-- These seem pretty simple, don't they?
-- Solve 2 equations for 3 unknowns (normal algsys)
-- Gives 12 solutions
-- Substitute back the solutions
-- Big mess
-- Now evaluate them numerically to eyeball them
-- Surprise! Only 6 of the 12 are right.
And it is completely missing the parametric solution(s)!!!
a= 2 / ( sqrt( Q^4-4*Q ) - Q^2 )
b= ( sqrt( Q^4-4*Q ) - Q^2 ) / (2*Q)
Log in to post a comment.