SOLUTION: Last and final problem I am having troubles with is the following: Instructions: Find the solution set of : 1/k-1 + 1/k+2 = 3/k^2+k-2 Translation: Looks like 3 different

Algebra ->  Equations -> SOLUTION: Last and final problem I am having troubles with is the following: Instructions: Find the solution set of : 1/k-1 + 1/k+2 = 3/k^2+k-2 Translation: Looks like 3 different      Log On


   



Question 91987: Last and final problem I am having troubles with is the following:
Instructions:
Find the solution set of :
1/k-1 + 1/k+2 = 3/k^2+k-2
Translation:
Looks like 3 different terms to me:
1 divided by k-1 + 1 divided by k+2 = 3 divided by k squared plus k-2

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the denominator on the right side is the common denominator for the two fractions on the left side

so (k+2)+(k-1)=3 ... 2k+1=3 ... 2k=2 ... k=1

BUT ... if k=1 then two of the denominators become 0, resulting in undefined quantities

this means that there is NO SOLUTION ... the solution set is the null set