Let positive real numbers such that
find all possible values of
Solve second eq for a, substitute into first eq, and multiply through by bcd to get:
(…) = 12bcd -27.
The left side has to be positive so eqs have a sol for all b,c,d s.t. 12bcd>27
Assume a=4, and b=2. Then
1) and 2) give a quadratic equation with solution c=.756 and d=5.244
Assume a and b given. Then:
3) and 4) give a quadratic eq for c which has a solution if (c+d)^2>4k (not very nice).
Topsquark: I pissed in your ear and told you it was raining. My sincerest apologies. Feel free to remove the thanks- I appreciate the gesture.