SOLUTION: d=LR^2/R^2+R^1 solve for R^1

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Question 976336: d=LR^2/R^2+R^1
solve for R^1
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Guessing you mean, d=LR%5E2%2F%28R%5E2%2BR%5E1%29.

d%28R%5E2%2BR%29=LR%5E2
dR%5E2%2BdR=LR%5E2
dR%5E2-LR%5E2%2BdR=0
%28d-L%29R%5E2%2BdR=0
R%28%28d-L%29R%2Bd%29=0

%28d-L%29R%2Bd=0
%28d-L%29R=-d
R=-d%2F%28d-L%29
highlight%28R=d%2F%28L-d%29%29

The other zero-product choice of R=0 must be rejected because the original equation is undefined for R=0.


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The equation as posted was wrong.

SUBSCRIPTS Instead of exponents:
d=%28LR%5B2%5D%29%2F%28R%5B2%5D%2BR%5B1%5D%29

Multiplicative Inverse Property:
d%28R%5B2%5D%2BR%5B1%5D%29=LR%5B2%5D

Distributive Property:
dR%5B2%5D%2BdR%5B1%5D=LR%5B2%5D

Additive Inverse of dR%5B2%5D,
dR%5B1%5D=LR%5B2%5D-dR%5B2%5D

Multiplicative Property of Equality using multiplicative inverse of d,
%281%2Fd%29dR%5B1%5D=%281%2Fd%29%28LR%5B2%5D-dR%5B2%5D%29

Simplification or other convenient adjustment,
highlight%28R%5B1%5D=%28LR%5B2%5D-dR%5B2%5D%29%2Fd%29