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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Hard
The given equation relates the distinct positive real numbers , , and . Which equation correctly expresses in terms of and ?
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Explanation
Choice C is correct. Dividing each side of the given equation by yields , or . Because it's given that each of the variables is positive, squaring each side of this equation yields the equivalent equation . Subtracting from each side of this equation yields , or .
Choice A is incorrect. This equation isn't equivalent to the given equation.
Choice B is incorrect. This equation isn't equivalent to the given equation.
Choice D is incorrect. This equation isn't equivalent to the given equation.