Diverging lens, calculating image location

[Revvi]

Homework Statement

Diverging lens with focus of 2 meters. The object is 3.66 meters away from the lens. Find the exact image location.

Homework Equations

1/object + 1/image = 1/f

The Attempt at a Solution

I plugged in the numbers with a negative value for the focal length but I keep getting a negative value (-1.29 m) for my image location. However, when I do the ray diagram (which I'm confident is correct) I find that the image should be in front of the lens. Any explanations?

 

[Noein]

The usual sign convention for thin lenses is such that the image distance is negative if the image is in front of the lens.