Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 - 4x - 11. Find u/v + v/u.
3x^2 + 5x + 7 = 2x^2 - 4x - 11
3x^2 - 2x^2 + 5x + 4x + 7 + 11 = 0
x^2 + 9x + 18 = 0
Use the quadratic formula to get:
x= - 3 x= - 6
[- 3 / - 6] + [ - 6 / - 3] = [1 / 2 + 2] = 2.5