(x − 1) 2 = −4 How many distinct real solutions does the given equation have?

Question

Accepted Answer

Key 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 x. Since the right-hand side of the given equation is negative, there is no value of x for which the given equation is true. Thus, the number of distinct real solutions for the given equation is zero. Distractor Explanations: Choices A, B, and C are incorrect and may result from conceptual errors.

Want a deeper, personalized explanation?

Related questions