If a, b, c are positive real numbers such that the equations `ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0`, have a common root, then

Options

A. `a + b omega + c omega^(2) = 0`
B. `a + b omega^(2) + c omega = 0`
C. `a^(3) + b^(3) + c^(3) = 3abc`
D. all the above

Answer

D