Question 282316
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.