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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
Solve
√(2x+1)+ √(x+4) = 3
==============
Square both sides
2x%2B1+%2B+x%2B4+%2B+2sqrt%282x%2B1%29%2A%28x%2B4%29+=+9
2sqrt%282x%2B1%29%2A%28x%2B4%29+=+4+-+3x
----
Square again
4%282x%2B1%29%2A%28x%2B4%29+=+16+-+24x+%2B+9x%5E2
8x%5E2+%2B+36x+%2B+16+=+16+-+24x+%2B+9x%5E2
x%5E2+-+60x+=+0
x = 0 using the positive values
-------
x = 60 using the negative values

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

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



When solved, highlight%28x+=+60%29, or highlight%28x+=+0%29, but since highlight%28x+=+60%29 is an extraneous solution, then highlight_green%28x+=+0%29 (see graph below)

is the sole solution.

 



You can do the check!!

 

Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person,for a fee, obviously. 



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