SOLUTION: The difference between 6 times number and its square is 91. Find the numbers.

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Question 777836: The difference between 6 times number and its square is 91. Find the numbers.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
6* number = 6x
the number's square = x^2
x^2 - 6x = 91
x^2 - 6x - 91 = 0
(x - 13)(x + 6) = 0
x + 6 = 0
x = -6 (no answer as x < 0)
x - 13 = 0
x = 13.
13 is the number.
13^2 - 6(13) = 91
169 - 78 = 91
Hope this helps.
:-)