SOLUTION: sqroot(3-x) + 28 = x + 25 x=?

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Question 262419: sqroot(3-x) + 28 = x + 25
x=?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
we start with
sqrt%283-x%29+%2B+28+=+x+%2B+25+
subtract 28 to get
sqrt%283-x%29+=+x+-3
square both sides to get
3-x+=+x%5E2+-+6x+%2B+9
set = 0 to get
x%5E2-5x+%2B+6+=+0
factor to get
%28x-2%29%28x-3%29=0
so,
x = 2
x = 3
however if x = 2, then we get 1 = -1 which is not possible, so the only answer is x = 3.