SOLUTION: Solve by factoring (Squareroot of 2x)+5=x+1

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Question 912823: Solve by factoring
(Squareroot of 2x)+5=x+1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x%29%2B5=x%2B1
sqrt%282x%29=x-4
x-sqrt%282%29sqrt%28x%29-4=0
Let u=sqrt%28x%29,
u%5E2-sqrt%282%29u-4=0
Factoring,
%28u%2Bsqrt%282%29%29%28u-2sqrt%282%29%29=0
Two solutions:
u%2Bsqrt%282%29=0
u=-sqrt%282%29
sqrt%28x%29=-sqrt%282%29
This does not lead to a solution in x.
.
.
.
u-2sqrt%282%29=0
u=2sqrt%282%29
u=sqrt%288%29
sqrt%28x%29=sqrt%288%29
highlight%28x=8%29