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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
The given equation relates the distinct positive numbers , , and . Which equation correctly expresses in terms of and ?
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Explanation
Choice A is correct. To express in terms of and , the given equation must be solved for . Since it's given that is a positive number, is not equal to zero. Therefore, multiplying both sides of the given equation by yields the equivalent equation . Since it's given that is a positive number, is not equal to zero. Therefore, dividing each side of the equation by yields the equivalent equation .
Choice B is incorrect. This equation is equivalent to .
Choice C is incorrect. This equation is equivalent to .
Choice D is incorrect. This equation is equivalent to .