SOLUTION: Would someone be so kind as to help me out with this problem: sqrt(3x)-1=sqrt(2x+1) Thank you in advance for any help. You all have been a great help in the past.

Question 327716: Would someone be so kind as to help me out with this problem:
sqrt(3x)-1=sqrt(2x+1)

Thank you in advance for any help. You all have been a great help in the past.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!

:
Square both sides, FOIL ()()
:
3x - - + 1 = 2x + 1
:
3x - + 1 = 2x + 1
:
3x - 2x + 1 - 1 =
:
x =
Square both sides
x^2 = 4(3x)
:
x^2 = 12x
Divide both sides by x
x = 12
:
:
Check the solution in original equation;
Replace x with 12

6 - 1 = 5; confirms our solution
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