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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
The solution to the given system of equations is . What is the value of ?
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Explanation
Choice B is correct. Adding to each side of the second equation in the given system of equations yields . Substituting for in the first equation yields . Subtracting from each side of this equation yields . This equation can be rewritten as . Taking the square root of each side of this equation yields . Subtracting from each side of this equation yields . Therefore, the value of is .
Choice A is incorrect. This is the value of , not .
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.