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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Hard
How many distinct real solutions does the given equation have?
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Explanation
Choice D is correct. Any quantity that is positive or negative in value has a positive value when squared. Therefore, the left-hand side of the given equation is either positive or zero for any value of . Since the right-hand side of the given equation is negative, there is no value of for which the given equation is true. Thus, the number of distinct real solutions for the given equation is zero.
Choices A, B, and C are incorrect and may result from conceptual errors.