Why does solve not return more than 2 answers

Hi i've been practising some concepts from a uni course by using MATLAB as a demonstration tool.

The function below should solve for x and y coordinate of a robot based on a range measurement to a landmark.

However, if i have one landmark, theoretically I should have infinite solutions of x and y. Whilst i understand its not possible to recieve unlimited solutions, I should be receiving more than 2. What is wrong in my implementation?

function Loc = FindLocation()

    syms x y
    global landmarks

    for i = 1:landmarks.N
        range(i) = (landmarks.pose(i).r)^2 == ((landmarks.pose(i).x - x)^2 + (landmarks.pose(i).y - y)^2)
    end

    sol = solve(range(1:end),[x,y]);

    Loc.x = sol.x
    Loc.y = sol.y
end

Thanks in advance

[Walter Roberson]

What value is landmarks.N (that is, what size is landmarks.pose ?)

Answer 1

[Walter Roberson]

      sol = solve(range(1:end), [x,y], 'returnconditions', true);

This will return sol.x and sol.y parameterized by an extra variable that will probably be named z or z1 or something like that.

      fplot3(sol.x,sol.y,sym([0;0]),[-20 20])