How many distinct real solutions does the equation $(x+2)^2 = -9$ have?
AExactly one
BExactly two
CZero
DInfinitely many
Answer & Solution
Correct answer: C. Zero
The left side $(x+2)^2$ is non-negative for every real $x$. The right side is $-9 < 0$. No real $x$ can satisfy a non-negative quantity equalling a negative one, so there are zero real solutions.
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