sat suite question viewer
In the given equation, and are unique positive constants. When the equation is graphed in the xy-plane, how many distinct x-intercepts does the graph have?
Explanation
Choice B is correct. An x-intercept of a graph in the xy-plane is a point on the graph where the value of is . Substituting for in the given equation yields . By the zero product property, the solutions to this equation are , , , and . However, and are identical. It's given that and are unique positive constants. It follows that the equation has unique solutions: , , and . Thus, the graph of the given equation has distinct x-intercepts.
Choice A is incorrect and may result from conceptual errors.
Choice C is incorrect and may result from conceptual errors.
Choice D is incorrect and may result from conceptual errors.