SOLUTION: Solve √(2x+1)+ √(x+4) = 3 Thank you so much in advance:)

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Question 818409: Solve
√(2x+1)+ √(x+4) = 3
Thank you so much in advance:)
Found 3 solutions by ichudov, Alan3354, MathTherapy:
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Try graphing it and you will see:

x=0 is the obvious answer and it checks out fine.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve
√(2x+1)+ √(x+4) = 3
==============
Square both sides


----
Square again



x = 0 using the positive values
-------
x = 60 using the negative values
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Solve
√(2x+1)+ √(x+4) = 3
Thank you so much in advance:) 



When solved, , or , but since  is an extraneous solution, then  (see graph below)

is the sole solution.

 



You can do the check!!

 

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