SOLUTION: (radical 9-2v) = (radical 3v-3) - 2 I don't know where to begin. I know the answer is 4, but I don't know how to get there.

Algebra ->  Radicals -> SOLUTION: (radical 9-2v) = (radical 3v-3) - 2 I don't know where to begin. I know the answer is 4, but I don't know how to get there.      Log On


   

Question 1007811: (radical 9-2v) = (radical 3v-3) - 2
I don't know where to begin. I know the answer is 4, but I don't know how to get there.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
(radical 9-2v) = (radical 3v-3) - 2
I don't know where to begin. I know the answer is 4, but I don't know how to get there.
----------------------------------------------------------------

sqrt%289-2v%29 = sqrt%283v-3%29 - 2.

Start by squaring both sides.
Then simplify both sides.
Then isolate the remaining square root and square both sides again.

In this way you will get the roots of the equation.

At the end check that the found roots belong to the domain 9-2v > =0 and 3v-3 >= 0,
where the square roots of the original equation are defined.