Answer:Remember that an extraneous solution of an equation, is the solution that emerges from solving the equation but is not a valid solution.
Lets solve our equation to find out what is the extraneous solution:
and
and
So, the solutions of our equation are and . Lets replace each solution in our original equation to check if they are valid solutions:
- For
We can conclude that 7 is a valid solution of the equation.
- For
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.
We can conclude that the correct answer is: D. the extraneous solution is x = 4
Step-by-step explanation:
