SOLUTION: If 10 is subtracted from a number, the result is equal to the square root of 2 more than the number. Find the number

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Question 256383: If 10 is subtracted from a number, the result is equal to the square root of 2 more than the number. Find the number
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
If we use x for the unknown number, then the problem translates to:
x+-+10+=+sqrt%282%29+%2B+x
If we subtract x from each side of this equation we get:
-10+=+sqrt%282%29
The variable x has disappeared! This means that there is either no solution to the equation or that any number works for x in the equation. Since -10+=+sqrt%282%29 is a false statement, this tells us that there is no solution to this problem. (If the equation had worked out to be a true statement, like 6 = 6 or sqrt%282%29+=+sqrt%282%29 then this would mean that all numbers work.