The number of real-valued solutions of the equation is
Correct Answer :
0
Solution :
Given equation:
Simplifying the left-hand side:
For any real number :
Therefore, the term on the left side is always strictly negative:
However, the term on the right side is a perfect square, which must always be non-negative:
Since a strictly negative value can never equal a non-negative value for any real , there are no real solutions to this equation. Thus, the number of real-valued solutions is 0.
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