SOLUTION: sqrt of x-6 - sqrt of x-6 = 2 I got this: sqrt of -x+6 - sqrt x-6 = 2 sqrt of -x+6 - sqrt -x+6 = 2 answer of 0=2, so the final answer is 0. I am supposed to check for ex

Algebra ->  Square-cubic-other-roots -> SOLUTION: sqrt of x-6 - sqrt of x-6 = 2 I got this: sqrt of -x+6 - sqrt x-6 = 2 sqrt of -x+6 - sqrt -x+6 = 2 answer of 0=2, so the final answer is 0. I am supposed to check for ex      Log On


   



Question 147207: sqrt of x-6 - sqrt of x-6 = 2
I got this:
sqrt of -x+6 - sqrt x-6 = 2
sqrt of -x+6 - sqrt -x+6 = 2
answer of 0=2, so the final answer is 0.
I am supposed to check for extraneous answers also. Are my calculations correct? How do I figure for extraneous answers?
Thank you for your help.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x-6%29-sqrt%28x-6%29=2 Start with the given equation.

0=2 Combine like terms on the left side.


Since this equation is never true for any x value, this means there are no solutions.