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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
4*x+(4*x)/(x^2)-32 = 0
4*x^1+4*x^-1-32*x^0 = 0
(4*x^2-32*x^1+4*x^0)/(x^1) = 0 // * x^2
x^1*(4*x^2-32*x^1+4*x^0) = 0
x^1
4*x^2-32*x+4 = 0
4*x^2-32*x+4 = 0
DELTA = (-32)^2-(4*4*4)
DELTA = 960
DELTA > 0
x = (960^(1/2)+32)/(2*4) or x = (32-960^(1/2))/(2*4)
x = (8*15^(1/2)+32)/8 or x = (32-8*15^(1/2))/8
x in { (32-8*15^(1/2))/8, (8*15^(1/2)+32)/8}
x in { (32-8*15^(1/2))/8, (8*15^(1/2)+32)/8 }
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