A student solves the following equation and
determines that the solution is -2. Is the student
correct? Explain.
3/a+2 - 6a/a^2-4 = 1/a-2

Solving the equation, it is found that it has no solutions, thus, the student is not correct.

The equation is:

Applying the subtraction of perfect squares, we have that:

Then

In a fraction, the denominator cannot be zero, thus:

Looking at the numerator for the solution:

However, a = -2 is a restriction, as it makes the denominator zero, thus the function has no solutions.

A similar problem is given at link

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

as

so equation becomes

So the following points are undefined

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.