Which statement best reflects the solution(s) of the equation? 1/x+1/x−3=x−2/x−3 a. there is only one solution: x = 1. the solution x = 3 is an extraneous solution. b. there are two solutions: x = 1 and x = 3. c. there is only one solution: x = 3. the solution x = 1 is an extraneous solution. d. there is only one solution: x = 1. the solution x = 0 is an extraneous solution.

Option A) There is only one solution: x = 1. The solution x = 3 is an extraneous solution.                

Step-by-step explanation:

We are given the following equation:

Solving the given equation, we have:

Extraneous solutions:

An extraneous solution is not a root of the original equation because it was excluded from the domain of the original equation.We may arrive to this solution but cannot consider it as a solution because it is not valid.

But x = 3 cannot be a solution to the given equation as when put in the given equation it gives denominator zero.

Thus, x = 1 is the solution of the given equation and x = 3 is an extraneous solution.

Horizontal change or the change of x

Where are the