x-64/x

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Solution for x-64/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

x-6 > 4/x // - 4/x

x-(4/x)-6 > 0

x-4*x^-1-6 > 0

x-4*x^-1-6 = 0

1*x^1-4*x^-1-6*x^0 = 0

(1*x^2-6*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-6*x^1-4*x^0) = 0

x^1

x^2-6*x-4 = 0

x^2-6*x-4 = 0

DELTA = (-6)^2-(-4*1*4)

DELTA = 52

DELTA > 0

x = (52^(1/2)+6)/(1*2) or x = (6-52^(1/2))/(1*2)

x = (2*13^(1/2)+6)/2 or x = (6-2*13^(1/2))/2

x in { (6-2*13^(1/2))/2, (2*13^(1/2)+6)/2} 

(x-((6-2*13^(1/2))/2))*(x-((2*13^(1/2)+6)/2)) > 0

	(-oo:(6-2*13^(1/2))/2)	((6-2*13^(1/2))/2:(2*13^(1/2)+6)/2)	((2*13^(1/2)+6)/2:+oo)
x-((6-2*13^(1/2))/2)	-	+	+
x-((2*13^(1/2)+6)/2)	-	-	+


x in (-oo:(6-2*13^(1/2))/2) U ((2*13^(1/2)+6)/2:+oo)

(-oo:(6-2*13^(1/2))/2) U ((2*13^(1/2)+6)/2:+oo)

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