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D( k )
1-(((47*k)/47)*k)-(0.1*k) <= 0
1-(((47*k)/47)*k)-(0.1*k) <= 0
1-(((47*k)/47)*k)-(0.1*k) <= 0
1-k^2-0.1*k <= 0
1-k^2-0.1*k <= 0
DELTA = (-0.1)^2-(-1*1*4)
DELTA = 0.1^2+4
DELTA = 4.01
DELTA > 0
k = ((0.1^2+4)^(1/2)+0.1)/(-1*2) or k = (0.1-(0.1^2+4)^(1/2))/(-1*2)
k = ((0.1^2+4)^(1/2)+0.1)/(-2) or k = (0.1-(0.1^2+4)^(1/2))/(-2)
a = -1
a < 0
k in (-oo:((0.1^2+4)^(1/2)+0.1)/(-2)> U <(0.1-(0.1^2+4)^(1/2))/(-2):+oo)
k in (((0.1^2+4)^(1/2)+0.1)/(-2):(0.1-(0.1^2+4)^(1/2))/(-2))
ln(1-(((47*k)/47)*k)-(0.1*k)) = 0
ln(1-k^2-0.1*k) = 0
ln(1-k^2-0.1*k) = ln(e^0)
1-k^2-0.1*k = e^0
1-k^2-0.1*k-e^0 = 0
-k^2-0.1*k = 0
DELTA = (-0.1)^2-(-1*0*4)
DELTA = 0.1^2
DELTA = 0.01
DELTA > 0
k = ((0.1^2)^(1/2)+0.1)/(-1*2) or k = (0.1-(0.1^2)^(1/2))/(-1*2)
k = -0.1 or k = 0
k in { -0.1, 0 }
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