SOLUTION: 8 times the square of a positive integer divided by 2 equals 144 minus 36 times the positive integer. find the unknown positive integer.

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Question 1115043: 8 times the square of a positive integer divided by 2 equals 144 minus 36 times the positive integer. find the unknown positive integer.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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8 times the square of a positive integer divided by 2 equals 144 minus 36 times the positive integer.
find the unknown positive integer.
:
x = unknown positive solution
%288x%5E2%29%2F2 = 144 - 36x
Ccancel the 2
4x%5E2 = 144 - 36x
Simplify divide by 4
x%5E2+=+36+-+9x
x%5E2+%2B+9x+-+36 = 0
Factors to
(x+12)(x-3) = 0
The positive solution
x = 3
:
:
Check in original equation
%288%283%5E2%29%29%2F2 = 144 - 36(3)
36 = 144 - 108