Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 + 5x - 19. Find \frac{u}{v} + \frac{v}{u}.
Rearrange as
x^2 + 26 = 0
x^2 = -26 take both roots
u = i sqrt (26) and v = -i sqrt (26)
u / v + v / u =
i sqrt (26) / -i sqrt (26) + -i sqrt (26) / i sqrt (26) =
- 1 + -1 =
-2
+1323 
