(2x-5/x-1)3

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Solution for (2x-5/x-1)3 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(5/x)-1 < 3 // - 3

2*x-(5/x)-3-1 < 0

2*x-5*x^-1-3-1 < 0

2*x-5*x^-1-3-1 = 0

2*x^1-5*x^-1-4*x^0 = 0

(2*x^2-4*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-4*x^1-5*x^0) = 0

x^1

2*x^2-4*x-5 = 0

2*x^2-4*x-5 = 0

DELTA = (-4)^2-(-5*2*4)

DELTA = 56

DELTA > 0

x = (56^(1/2)+4)/(2*2) or x = (4-56^(1/2))/(2*2)

x = (2*14^(1/2)+4)/4 or x = (4-2*14^(1/2))/4

x in { (4-2*14^(1/2))/4, (2*14^(1/2)+4)/4} 

(x-((4-2*14^(1/2))/4))*(x-((2*14^(1/2)+4)/4)) < 0

	(-oo:(4-2*14^(1/2))/4)	((4-2*14^(1/2))/4:(2*14^(1/2)+4)/4)	((2*14^(1/2)+4)/4:+oo)
x-((4-2*14^(1/2))/4)	-	+	+
x-((2*14^(1/2)+4)/4)	-	-	+


x in ((4-2*14^(1/2))/4:0) U (0:(2*14^(1/2)+4)/4)

((4-2*14^(1/2))/4:0) U (0:(2*14^(1/2)+4)/4)

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