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## Homework Statement

A concave mirror has a focal length of 27.2 cm. The distance between an object and its image is 50.2 cm. Find (a) the object and (b) the image distance assuming that the object lies beyond the center of curvature.

## Homework Equations

f=1/2 R

1/object distance + 1/image distance = 1/f

## The Attempt at a Solution

image distance - object distance = 50.2 cm

(image distance + object distance)/(image distance*object distance) = 1/f

50.2/(image distance*object distance)=1/27.2

image distance*object distance=1365.44

image distance=50.2 + object distance

substitute in and get: (50.2 + object distance)object distance = 1365.44

quadratic equation solves for object distance = 69.77 or 19.57 cm

Am I even doing this right?? If so, I'm stuck from here.. Thanks for any help you can give!!