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If 1/u=1/f-1/v is the formula Express f as the subject of the formula​

2 Answers

0 votes

Answer:

f = uv/(v+u)

Explanation:

1/u = 1/f - 1/v

1/u + 1/v = 1/f

(v+u) ÷ uv = 1 ÷ f

multiply both sides by uvf

f(v+u) = uv

f = uv / (v+u)

User Fafchook
by
6.5k points
4 votes

Answer:


f = (1)/((1)/(u)+(1)/(v) )

Explanation:


1/u=1/f-1/v\\(1)/(f) = (1)/(v) +(1)/(u) \\Divide- both- sides- by; 1\\(1)/(f) / (1)/(1) = ((1)/(v) + (1)/(u)) / (1)/(1)\\\\f = (1)/((1)/(u)+ (1)/(v) )

User Igorjrr
by
7.0k points