How to find one value in terms of other variables?

AI Thread Summary
To find q in terms of f and p, the equation 1/p + 1/q = 1/f can be manipulated by isolating q. The correct steps lead to the equation 1/q = (1/f) - (1/p), which simplifies to 1/q = (p-f)/(pf). Ultimately, this results in q = pf/(p-f). The calculations and final expression for q are confirmed to be correct.
Eddie10
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Homework Statement



I need to find q in terms of f and p.

Homework Equations


I am dealing with this equation at the moment:
1/p + 1/q = 1/f.

The Attempt at a Solution


I think I should isolate the q, so that I have the variables p and f on one side of the equals sign, and q on the other side of the equals sign.

Am I correct in thinking this?
 
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Yes.
 
My results:

1/q =(1/f) - (1/p)

1/q= (p-f)/(pf)

q= pf/(p-f)

Are they correct?
 
Yes.
 
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