SOLUTION: Given (1/f) = (n - 1)[(1/a) + (1/b)], solve for f.

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Question 1208434: Given (1/f) = (n - 1)[(1/a) + (1/b)], solve for f.


Found 3 solutions by josgarithmetic, Edwin McCravy, math_tutor2020:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Ff%22%22=%22%22%28n+-+1%29%281%2Fa+%2B+1%2Fb%29

Invert both sides:

f%2F1%22%22=%22%221%5E%22%22%2F%28%28n+-+1%29%281%2Fa+%2B+1%2Fb%29%29

Multiply top and bottom by ab:

f%22%22=%22%22ab%2F%28%28n+-+1%29%28b+%2B+a%29%29

Edwin

Answer by math_tutor2020(3816) About Me  (Show Source):