<PRE><B>Question 1115043</B>
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
{{{(8x^2)/2}}} = 144 - 36x
Ccancel the 2
{{{4x^2}}} = 144 - 36x
Simplify divide by 4
{{{x^2 = 36 - 9x}}}
{{{x^2 + 9x - 36}}} = 0
Factors to
(x+12)(x-3) = 0
The positive solution
x = 3
:
:
Check in original equation
 {{{(8(3^2))/2}}} = 144 - 36(3)
36 = 144 - 108
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