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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
16*x-(96/x)-6 = 0
16*x-96*x^-1-6 = 0
16*x^1-96*x^-1-6*x^0 = 0
(16*x^2-6*x^1-96*x^0)/(x^1) = 0 // * x^2
x^1*(16*x^2-6*x^1-96*x^0) = 0
x^1
16*x^2-6*x-96 = 0
16*x^2-6*x-96 = 0
DELTA = (-6)^2-(-96*4*16)
DELTA = 6180
DELTA > 0
x = (6180^(1/2)+6)/(2*16) or x = (6-6180^(1/2))/(2*16)
x = (2*1545^(1/2)+6)/32 or x = (6-2*1545^(1/2))/32
x in { (6-2*1545^(1/2))/32, (2*1545^(1/2)+6)/32}
x in { (6-2*1545^(1/2))/32, (2*1545^(1/2)+6)/32 }
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