SOLUTION: z-4/z+2=1/6 Solution for z = ?

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Question 283115: z-4/z+2=1/6
Solution for z = ?
Found 2 solutions by unlockmath, richwmiller:
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's first remove the fractions by multiplying by 6z. This will give us:
6z^2-24+12z=z Now subtract z from both sides to get:
6z^2+11z-24=0 Now use the quadratic Form to solve:
z+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ Plug in the values:
z = (-11 +- sqrt( 121+576))/(12) Simplify to:
z=-11+-sqrt697/12
There you go.
RJ
www.math-unlock.com

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
%28z-4%29%2F%28z%2B2%29=1%2F6
answer 26/5 or 5.2 or 5 1/5
6*(z-4)=z+2
6z-24=z+2
5z=26
z=26/5