- #1

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[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.