SOLUTION: -3 = (37-3n)^1/2 - n

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Question 841864: -3 = (37-3n)^1/2 - n
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
-3+=+%2837-3n%29%5E%281%2F2%29+-+n
n-3+=+%2837-3n%29%5E%281%2F2%29
n%5E2-6n%2B9=37-3n
n%5E2-3n-28=0
%28n-7%29%28n%2B4%29=0
Two possible solutions:
n-7=0
n=7
Checking:
-3=%2837-21%29%5E%281%2F2%29-7
-3=4-7
3=-3
True
and
n%2B4=0
n=-4
Checking:
-3=%2837%2B12%29%5E%281%2F2%29-4
-3=7-4
-3=3
False, not a solution.
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n=7