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

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) (Show Source): You can put this solution on YOUR website!
If we use x for the unknown number, then the problem translates to:

If we subtract x from each side of this equation we get:

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 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 then this would mean that all numbers work.
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