SOLUTION: In A = xy - (1 - z/4)r^2, solve for r in terms of the other variables, r a positive number.

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Question 252222: In A = xy - (1 - z/4)r^2, solve for r in terms of the other variables, r a positive number.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Subtract xy from both sides.


Divide both sides by .


Reduce.


Take the square root of both sides. Note: Since 'r' is positive, we don't have to worry about the negative square root.


So the answer is


Note: if the original problem was , then the answer is which simplifies to

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