SOLUTION: Solve equation, check answer. root 4√(2x+3) = √(x+1)

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Question 427539: Solve equation, check answer.
root 4√(2x+3) = √(x+1)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4sqrt%282x%2B3%29 = sqrt%28x%2B1%29
square both sides and you have
sqrt%282x%2B3%29 = x + 1
Square both sides again
2x + 3 = (x+1)^2
FOIL, the right side
2x + 3 = x^2 + 2x + 1
0 = x^2 + 2x - 2x + 1 - 3
0 = x^2 - 2
x^2 = 2
x = sqrt%282%29, only the positive value will be a solution