Advanced Search

Question: solving equation containing 2 parameters

Question:solving equation containing 2 parameters

khajehmiri 0 Maple
solve roots
May 31 2012
0 
I want solve this inequations

> solve((1/4*(beta^2-6))*(-beta^2+2*alpha) > 0);

After running, maple gives an answer in four lines

alpha < (1/2)*beta^2     0 < -(1/2)*beta^2+3
(1/2)*beta^2 < alpha     -(1/2)*beta^2 < -3
[]                                 beta = -sqrt(6)
[]                                 beta = sqrt(6)

now I have questions:

1) In spite of knowing range of beta in thhe second parts of first two lines of answer, why maple doesn't combine two part of first two lines?

2) Whats the meaning of [] at in two last lines?

3)It's evident that beta=-sqrt(6) and beta=sqrt(6) are roots of inequation. So why these answers are given while we want inequation will be bigger than zero
Please Wait...