Basically I have the following system: [tex] ac = A [/tex] [tex] ad + bc = B [/tex] [tex] bd = C [/tex] where [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] are constants. Solving for [tex]a, b, c,[/tex] and [tex]d[/tex], what kind of problem/system am I encountering and what appropriate tools (vectors and/or numerical methods perhaps[?]) would help to find the set of solutions for [tex]a, b, c,[/tex] and [tex]d[/tex]? I know that the system factors a trinomial but I don't know what kind of problem is presented by the system itself. Thanks in advance for any insight.