SOLUTION: solve: n/n - 4 + n = 12 - 4n/n - 4 a. -4,3 b. -3,4 c. -4 d. 3

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Question 328548: solve: n/n - 4 + n = 12 - 4n/n - 4
a. -4,3
b. -3,4
c. -4
d. 3
Answer by checkley77(12844) About Me  (Show Source):
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n/n - 4 + n = 12 - 4n/n - 4
n+n/n+4n/n-12+4=0
n+5n/n-8=0
n+5-8=0
n-3=0
n=3 ans.
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OR:
n/(n-4)+n=12-4n(n-4)
n/(n-4)+4n/(n-4)+n=12
5n/(n-4)+n=12
(5n+n*n-4)/(n-4)=12 cross multiply.=12
n^2+5n-4=12(n-4)
n^2+5n-4=12n-48
n^2+5n-12n-4+48=0
n^2-7n+44=0
(n-11)(n+4)=0
n-11=0
n=11 ans.
n+4=0
n=-4 ans.
(11,-4)