SOLUTION: how do you solve the radical equation radical sign(x-2) + 3 = radical sign (4x+1)

Question 109418: how do you solve the radical equation
radical sign(x-2) + 3 = radical sign (4x+1)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
radical sign(x-2) + 3 = radical sign (4x+1)
Square both sides to get:
(x-2) + 6sqrt(x-2)+9 = 4x+1
x+7 + 6sqrt(x-2) = 4x+1
6sqrt(x-2) = 3x-6
Divide thru by 3 to get:
2sqrt(x-2) = x-2
Square both sides to get:
4(x-2) = x^2-4x+4
4x-8 = x^2-4x+4
x^2-8x+12 = 0
(x-2)(x-6)=0
x = 2 or x=6
-------------
Check these answers in sqrt(x-2) + 3 = sqrt(4x+1)
Check x=2:
sqrt(0)+3 = sqrt(9)
True
---------------
Check x=6:
sqrt(4) + 3 = sqrt(25)
True
------------------
Both solutions are good.
===============
Cheerd,
Stan H.

RELATED QUESTIONS
solve: radical 6x-2=radical 2x+3 - radical 4x-1 i did not know what to use for the... (answered by jsmallt9)

How do you solve 3 radical sign 32 minus 4 radical sign... (answered by fractalier)

How do you do 1/2 radical sign with 112 inside the radical sign? Its on Page 514 number... (answered by stanbon)

How do i solve Radical Sign... (answered by richwmiller,MathTherapy)

HELP!!! PLEASE!!!! (3x^2 under the radical sign) + (2 outside radical sign 48x^2 under... (answered by uma)

find the value of x in the equation. 2 radical sign x + 20= 15+3 radical sign... (answered by Abbey)

Please help me simply these expressions. Thanks!! 6a)^1/2 radical sign ab / a^2b^3/2 (answered by edjones)

Can you help me solve this? radical sign x-1 = x-3 The radical sign is only by x-1... (answered by Edwin McCravy)

radical sign x+3 = 2radical sign... (answered by josmiceli)