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Question: Solve command doesn't find all solutions

Question:Solve command doesn't find all solutions

Britzel 190 Maple 15
August 24 2018
2

Hi there,

I am looking at the system of equations

0=2*r*(H*(2-H)-3*sin(theta)^2)

0=-3*sin(2*theta)

with

H=sqrt(1-2*r*cos(theta))

Using the solve command with the assumption r >= 0 gives the solutions [r=0, theta=0], [r=1/2, theta=0] and [r=3/2, theta=pi].

However [r=0, theta=pi/2] is also a solution, which the solve command doesn't give me. Why not, and why doesn't if even give a warning that there are more solutions, which are not given?

Cheers!

 
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