x-(24/x)2

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Solution for x-(24/x)2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(24/x) < 2 // - 2

x-(24/x)-2 < 0

x-24*x^-1-2 < 0

x-24*x^-1-2 = 0

1*x^1-24*x^-1-2*x^0 = 0

(1*x^2-2*x^1-24*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-2*x^1-24*x^0) = 0

x^1

x^2-2*x-24 = 0

x^2-2*x-24 = 0

DELTA = (-2)^2-(-24*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+2)/(1*2) or x = (2-100^(1/2))/(1*2)

x = 6 or x = -4

x in { -4, 6} 

(x+4)*(x-6) < 0

	(-oo:-4)	(-4:6)	(6:+oo)
x+4	-	+	+
x-6	-	-	+


x in (-4:0) U (0:6)

(-4:0) U (0:6)

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