Solution to Optics Lens Problem: Image Distance in f

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The discussion revolves around calculating the image distance for a real object placed at 7/3f from a convergent lens with a focal length of f. The user initially struggles with the lens formula and arrives at an incorrect image distance. After receiving guidance to re-evaluate the calculations, they realize a math error in their approach. The correct method involves substituting the object distance into the lens formula, leading to the correct image distance. The user expresses gratitude for the assistance received.
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i need help!

Given: A real object is located to the left of a convergent lens. The object's distance from the lens is 7/3f and its focal length is f. What is the image distance in terms of f?

I tried the formula 1/f = 1/di + 1/do... it didn't work
 
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Gshan12 said:
I tried the formula 1/f = 1/di + 1/do... it didn't work
What makes you think that doesn't work?
 
i got a weird fraction that di= (1-3f^2)/(f^2) and it's not one of the answer choices.
 
I don't see how you get f^2. Redo it, carefully: o = 7f/3, so 1/o = 3/(7f). 1/i = 1/f - 3/(7f), etc.
 
oh! i made a stupid math mistake...

THANK YOU SO MUCH!
 

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