SOLUTION: Solve for g. 1/R = (1/f) + srt{(1/g)^(4)}

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Question 1208665: Solve for g.

1/R = (1/f) + srt{(1/g)^(4)}

Answer by jhunjiro(67) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2FR%29+=+%281%2Ff%29+%2B+sqrt%28%281%2Fg%29%5E%284%29%29 get the sqrt((1/g)^(4)) = 1/g^2
%281%2FR%29+=+%281%2Ff%29+%2B+%281%2F%28g%5E2%29%29 subrtract 1/f both sides
%281%2FR%29-%281%2Ff%29+=+%281%2F%28g%5E2%29%29 multiply both sides by g^2
%28g%5E2%29%28%281%2FR%29-%281%2Ff%29%29+=+1 simplify equation by subtracting ((1/R)-(1/f)
%28g%5E2%29%28%28%28f-R%29%2FRf%29%29+=+1 multiply both sides by Rf/(f-R))
%28g%5E2%29=+%28Rf%2F%28f-R%29%29%29 get the square root of both side
Final Answer:
g=+sqrt%28%28Rf%2F%28f-R%29%29%29