SOLUTION: Please solve and explain how to work this problem. {{{-1/k - 7/24 = k/48}}} k =___,___

Algebra ->  Rational-functions -> SOLUTION: Please solve and explain how to work this problem. {{{-1/k - 7/24 = k/48}}} k =___,___       Log On


   

Question 861318: Please solve and explain how to work this problem.
-1%2Fk+-+7%2F24+=+k%2F48
k =___,___
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
-1%2Fk+-+7%2F24+=+k%2F48

+-+7%2F24+=+k%2F48%2B1%2Fk+

-7%2F24+=+%28k%5E2%2B48%29%2F48k

cross multiply
-7*48k/24 = k^2+48
-14k = k^2+48
k^2+14k+48
k^2+8k+6k+48=0
k(k+8)+6(k+8)=0
(k+8)(k+6)=0
k=-8 OR -6