SOLUTION: If the square of a positive integer is added to 6 times the integer, the result is 475. Find the integer.

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Question 1009248: If the square of a positive integer is added to 6 times the integer, the result is 475. Find the integer.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the integer x. Then we have
x^2 + 6x = 475
x^2 + 6x - 475 = 0
(x + 25)(x - 19) = 0
x = -25 or x = 19
but since it needs to be positive
x = 19