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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
What is the solution to the given equation?
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Explanation
Choice C is correct. Since the left-hand side of the given equation has a factor of in both the numerator and the denominator, the solution to the given equation can be found by solving the equation . Adding to both sides of this equation yields . Substituting for in the given equation yields , or . Therefore, the solution to the given equation is .
Choice A is incorrect. Substituting for in the given equation yields , or , which is false.
Choice B is incorrect. Substituting for in the given equation yields , or , which is false.
Choice D is incorrect. Substituting for in the given equation yields , or , which is false.