Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 - 4x - 11. Find u/v + v/u.
3x2 + 5x + 7 = 2x2 – 4x – 11
x2 + 9x + 18 = 0
(x + 3)(x + 6) = 0
x = –3 call it u
x = –6 call it v
u / v + v / u =
–3 / –6 + –6 / –3 =
1 / 2 + 2 = 2 1/2
.
