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D( x )
x = 0
x^2 = 0
x = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
x/(x^2)-(4*x)-(5/x)-32+4 = 0
x/(x^2)-4*x-5*x^-1-32+4 = 0
-4*x^1-4*x^-1-28*x^0 = 0
(-4*x^2-28*x^1-4*x^0)/(x^1) = 0 // * x^2
x^1*(-4*x^2-28*x^1-4*x^0) = 0
x^1
-4*x^2-28*x-4 = 0
-4*x^2-28*x-4 = 0
DELTA = (-28)^2-(-4*(-4)*4)
DELTA = 720
DELTA > 0
x = (720^(1/2)+28)/(-4*2) or x = (28-720^(1/2))/(-4*2)
x = (12*5^(1/2)+28)/(-8) or x = (28-12*5^(1/2))/(-8)
x in { (12*5^(1/2)+28)/(-8), (28-12*5^(1/2))/(-8)}
x in { (12*5^(1/2)+28)/(-8), (28-12*5^(1/2))/(-8) }
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