A
Zero
B
Exactly one
C
Exactly two
D
Infinitely many
Explanation
Correct answer: B.
Choice B is correct. Adding to each side of the given equation yields . Dividing each side of this equation by yields . This means that is the only solution to the given equation. Therefore, the given equation has exactly one solution.
Desmos solution:
Note: The regression fits x=0 for this equation, so it has exactly one solution.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.