Question

HELP ASAP PLEASE!!!!

The image shows the rational equation from part A with an incorrect solution process that a student performed. Explain the error the student made, and give the correct solution.

Answer 1

Only problem is with the simplifying.

We all know that 5/5 = 1, it is natural to  assume (x+a)/(x+a) is also 1, but in some cases where x+a=0, it is undefined. In this equation, where they simplify (x-2) and (x-6), you must say that x is not 2 nor 6 or, you just delete 0/0 which is undefined.

Therefore the only solution would be x=-1

Answer 2

The error that the student made in the rational equation simplification is that; She made 6 and -1 to be a solution but 6 is not a solution but only x = -1 because 6 makes the function undefined

Simplifying Rational Equations

         From the simplification of the rational equation, the solution the person got is; x = 6 or -1

         Now, when we put 6 for x in the rational equation, it is discovered that the denominator becomes zero for two of the expressions.

Now, when the denominator of a fraction is zero, that fraction is said to be undefined.

         Whereas when x = -1, we don't get an undefined function. Thus, the mistake the student made is that 6 is not a solution but only x = -1

Read more about Rational Equations at; https://brainly.com/question/8519709