A
B
C
D
Explanation
Correct answer: C.
Choice C is correct. For the given equation, is a factor of both terms on the left-hand side. Therefore, the given equation can be rewritten as , or , which is equivalent to . Multiplying both sides of this equation by yields . Subtracting from both sides of this equation yields .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the value of for which the left-hand side of the given equation equals , not .
Choice B
Choice B is incorrect. This is the value of for which the left-hand side of the given equation equals , not .
Choice D
Choice D is incorrect. This is the value of for which the left-hand side of the given equation equals , not .