SOLUTION: I need help solving this problem and the steps needed to use? sqrt(2x-1)+2=x

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Question 417517: I need help solving this problem and the steps needed to use? sqrt(2x-1)+2=x
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

sqrt%282x-1%29%2B2+=+x+

sqrt%282x-1%29=+x-2+

     2x - 1 = (x-2)(x-2)   |Squaring both sides of the EQ

     2x - 1 = x^2 - 4x + 4

  x^2 - 6x + 5 = 0

factoring

 (x-5)(x-1)= 0

 (x-1)= 0  x = 1   Extraneous  3 ≠ 1

 (x-5)= 0  x = 5    |  sqrt%289%29%2B+2+=+5+