SOLUTION: The quotient of a number and 3 is the same as the difference of the number and two. Find the number. 3/n = n-2 then I am stuck

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Question 72794: The quotient of a number and 3 is the same as the difference of the number and two. Find the number.
3/n = n-2 then I am stuck
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The quotient of a number and 3 is the same as the difference of the number and two. Find the number.
3/n = n-2
n%283%2Fn%29=n%28n-2%29
3=n%5E2-2n
3-3=n%5E2-2n-3
0=n%5E2-2n-3
0=%28n-3%29%28n%2B1%29
n-3=0 or n+1=0
n-3+3=0+3 or n+1-1=0-1
n=3 or n=-1
Sanity check:
For n=3
3%2F3=3-2
1=1 That checks.
For n=-1
3%2F-1=-1-2
-3=-3 That checks too.
Happy Calculating!!!!