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D( n )
n-2 = 0
n = 0
n-2 = 0
n-2 = 0
n-2 = 0 // + 2
n = 2
n = 0
n = 0
n in (-oo:0) U (0:2) U (2:+oo)
10000/n = 10000/(n-2)-250 // - 10000/(n-2)-250
10000/n-(10000/(n-2))+250 = 0
10000/n-10000*(n-2)^-1+250 = 0
10000/n-10000/(n-2)+250 = 0
(-10000*n)/(n*(n-2))+(10000*(n-2))/(n*(n-2))+(250*n*(n-2))/(n*(n-2)) = 0
10000*(n-2)+250*n*(n-2)-10000*n = 0
250*n^2-500*n-20000 = 0
250*n^2-500*n-20000 = 0
250*(n^2-2*n-80) = 0
n^2-2*n-80 = 0
DELTA = (-2)^2-(-80*1*4)
DELTA = 324
DELTA > 0
n = (324^(1/2)+2)/(1*2) or n = (2-324^(1/2))/(1*2)
n = 10 or n = -8
250*(n+8)*(n-10) = 0
(250*(n+8)*(n-10))/(n*(n-2)) = 0
(250*(n+8)*(n-10))/(n*(n-2)) = 0 // * n*(n-2)
250*(n+8)*(n-10) = 0
( n+8 )
n+8 = 0 // - 8
n = -8
( n-10 )
n-10 = 0 // + 10
n = 10
n in { -8, 10 }
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