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
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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(24713) (Show Source): You can put this solution on YOUR website!
Square both sides. To keep from getting confused, remember the pattern ^2 = a^2 -2ab + b^2)
^2 = 1^2)
 -2 sqrt{(2x+3)(x+1)} + (x + 1) = 1)
Collect like terms:
(x+1)} = 0)
Put the radical expression on the right:
(x+1)} )
Square both sides again:
(x+1) )
Multiply the binomials on the right:
 )
And distribute the 4:
Add )
to both sides:
Factor:
(x + 1)=0)
Use Zero Product Rule:
or
Check the answers:
+3} – sqrt{3+1} =^? 1)
+3} – sqrt{-1+1} =^? 1)
You can do your own arithmetic to verify the solutions.
John
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