Hi, with the problem:

$\displaystyle (a, c)$ and $\displaystyle (b, d)$ are roots of the equations $\displaystyle x^2 + ax - b = 0$ and $\displaystyle x^2 + cx + d = 0$ respectively. Find $\displaystyle a, b, c, d$.

Could this be solved with Vičte's Formula, or am I looking at this the wrong way?

How would you solve it?

BG