SOLUTION: Hi, I don't know how to draw the radical sign, but the problem in question is: the radical 2x-5= 2 + the radical x-2 I know to isolate the radical to one side and raise it t

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Question 39705This question is from textbook college algebra
: Hi, I don't know how to draw the radical sign, but the problem in question is:
the radical 2x-5= 2 + the radical x-2
I know to isolate the radical to one side and raise it to the same power to eliminate the radical...my problem is in multiplying it out after that...
This question is from textbook college algebra

Answer by stanbon(48535) (Show Source):
You can put this solution on YOUR website!
sqrt(2x-5)=2 + sqrt(x-2)
Square both sides to get:
2x-5=4+4sqrt(x-2)+x-2
Simplify to get:
x-7=4sqrt(x-2)
Square both sides again to get:
x^2-14x+49=16(x-2)
x^2-30x+81=0
(x-3)(x-27)=0
x=3 or x=27
Check the answers in the original equation:
The 27 is extraneous because it gives you sqrt of a negative.
Cheers,
Stan H.