SOLUTION: Problem: sqrt(x+3) - sqrt(x+1) = 3 I've worked the problem by adding sqrt(x+1) to both sides. Now problem is sqrt(x+3)= 3 + sqrt(x+1). I then squared both sides and continued to w

Question 376350: Problem: sqrt(x+3) - sqrt(x+1) = 3
I've worked the problem by adding sqrt(x+1) to both sides. Now problem is sqrt(x+3)= 3 + sqrt(x+1). I then squared both sides and continued to work the problem. I ended up with x = 13/16. I then entered 13/16 into the original equation and came up with "no solution" because 2/3 does not equal 3!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You are correct. There are no solutions.
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