STEP - BY - STEP EXPLANATION
What to find?
Determine if the student is correct with the solution -2.
Given:
To solve, we will follow the steps below:
Step 1
Determine the LCM.
The LCM in this case is a² - 4 which is the same as (a+2)(a-2).
Step 2
Multiply through by (a+2)(a-2)
[tex]3(a-2)-6a=1(a+2)[/tex]
Step 3
Open the parenthesis.
[tex]3a-6-6a=a+2[/tex]
Step 4
Collect like term.
[tex]3a-6a-a=2+6[/tex]
Step 5
Simplify.
[tex]-4a=8[/tex]
Step 6
Divide both-side of the equation by -4
[tex]-\frac{4a}{-4}=\frac{8}{-4}[/tex][tex]a=-2[/tex]
ANSWER
The solution is -2 . Hence the student is correct.
