SOLUTION: solve the square root of 6x+19=x-6

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Question 282316: solve the square root of 6x+19=x-6
Answer by subudear(62) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(6x+19)=x-6
squaring both the sides
6x + 19 = (x - 6)^2
6x + 19 = x^2 - 12x + 36
x^2 - 18x + 17 = 0
x^2 - 17x - x +17 = 0
x(x - 17) - (x - 17) = 0
(x - 17)(x - 1)=0
therefore x = 17 and 1 are the solutions.