document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #191817 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
If we use x for the unknown number, then the problem translates to:
\n" ); document.write( " $\"x+-+10+=+sqrt%282%29+%2B+x\"$
\n" ); document.write( "If we subtract x from each side of this equation we get:
\n" ); document.write( " $\"-10+=+sqrt%282%29\"$
\n" ); document.write( "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. \n" ); document.write( "

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