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youve perhaps heard the expression in english mind your ps and qs that comes from a stupid way of writing this equation im going to say 1 over the focal length is 1 over the distance of the image plus 1 over the distance of the object this equation is extremely powerful for lens systems however you cant use it unless you understand what each of these is going to be and really in the sense of just you can measure them with a ruler thats fine but whether to know if theyre negative or positive and so i suggest before you start a new lens problem you draw yourself a picture of a converging lens to remember to remind you yourself how the uh rays look when they go through and a diverging lens same thing of course the rays are bending at the surfaces or breaking at the surfaces but we draw them as if theyre happening at the line of action so that we can get our pictures right so the first thing i want to talk about is focal length focal length and im going to say that for focal leng