SOLUTION: Please help me solve this problem; I just can't do it. I have tryied so many times. sqrt(2x+3) – sqrt(x+1) = 1

Algebra ->  Algebra  -> Radicals -> SOLUTION: Please help me solve this problem; I just can't do it. I have tryied so many times. sqrt(2x+3) – sqrt(x+1) = 1      Log On

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Question 187534: Please help me solve this problem; I just can't do it. I have tryied so many times.
sqrt(2x+3) – sqrt(x+1) = 1
Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!





Square both sides. To keep from getting confused, remember the pattern





Collect like terms:



Put the radical expression on the right:



Square both sides again:



Multiply the binomials on the right:



And distribute the 4:



Add to both sides:



Factor:



Use Zero Product Rule:



or



Check the answers:





You can do your own arithmetic to verify the solutions.

John