SOLUTION: Solve sqrt(x + 1)) = 1 - sqrt(2x) I started with sqrt of x + 1 = 1 - sqrt 2x^2. Next I got [1 - sqrt 2x]^2 = 2x - 2 sqrt 2x + 1. Not sure if I'm going the right route... An

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Question 36741: Solve sqrt(x + 1)) = 1 - sqrt(2x)

I started with sqrt of x + 1 = 1 - sqrt 2x^2. Next I got [1 - sqrt 2x]^2 = 2x - 2 sqrt 2x + 1. Not sure if I'm going the right route... Any help is appreciated

Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!


The aim is to get the square roots on one side so that we can square both sides to remove the square roots. As i say, that is the aim but in this question, we have to do some further work:













and now square both sides again:







x(x-8) = 0
so x=0 or x-8=0
--> x=0 or x=8

jon.

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