sat suite question viewer
Which of the following are solutions to the given equation, where is a constant and ?
Explanation
Choice C is correct. Subtracting the expression from both sides of the given equation yields , which can be rewritten as . Since the two terms on the right-hand side of this equation have a common factor of , it can be rewritten as , or . Since is equivalent to , the equation can be rewritten as . By the zero product property, it follows that or . Adding to both sides of the equation yields . Adding to both sides of the equation yields . Therefore, the two solutions to the given equation are and . Thus, only and , not , are solutions to the given equation.
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.