SOLUTION: Solver for x square root of 3x+1 plus 3 = x

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Question 446557: Solver for x
square root of 3x+1 plus 3 = x
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

 sqrt%283x%2B1%29+%2B+3+=+x

 sqrt%283x%2B1%29+=+x-3+

 +3x%2B1+=+%28x-3%29%28x-3%29+

    3x+1 = x^2 - 6x + 9

    x^2 - 9x+ 8 = 0

factoring

 (x-1)(x-8) = 0

 (x-1)= 0  x = 1 an Extraneous solution:  2 + 3 ≠ 1

 (x-8) = 0 x = 8