Let roots be $ r_1, r_2 $, then $ \frac{A + 2d}{A} = 1 + 2\frac{d}{A} = 1 + 2\frac{1}{x} $. Since product is $ x^2 = 28/9 $, $ x = \pm \sqrt{28}/3 $. Use symbolic. From $ 14x^2 + 42x + 27 = 0 $, divide by 14: $ x^2 + 3x + \frac{27}{14} = 0 $.