SOLUTION: Solve the following quadratic equation a) 9[(y-1)/ (y+2)]^2 - 15[(y-1)/(y+2)] -6 = 0 Can you please help me out? Thanks so much in advance: Also can you please show me the ste

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve the following quadratic equation a) 9[(y-1)/ (y+2)]^2 - 15[(y-1)/(y+2)] -6 = 0 Can you please help me out? Thanks so much in advance: Also can you please show me the ste      Log On


   

Question 747652: Solve the following quadratic equation
a) 9[(y-1)/ (y+2)]^2 - 15[(y-1)/(y+2)] -6 = 0
Can you please help me out? Thanks so much in advance:
Also can you please show me the steps:)
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Let k = %28y+-+1%29%2F%28y+%2B+2%29.
9k%5E2+-+15k+-+6+=+0, divide both sides by 3
3k%5E2+-+5k+-+2+=+0
%28k+-+2%29%283k+%2B+1%29+=+0
k+=+2 or k+=+-1%2F3
*%28y+-+1%29%2F%28y+%2B+2%29+=+2
y+-+1+=+2y+%2B+4
y+=+-5
**%28y+-+1%29%2F%28y+%2B+2%29+=+-1%2F3
3y+-+3+=+-y+-+2
4y+=+1
y+=+1%2F4
Answer: y = highlight%28-5%29, highlight%281%2F4%29