x-(24/x)10

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Solution for x-(24/x)10 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(24/x) < 10 // - 10

x-(24/x)-10 < 0

x-24*x^-1-10 < 0

x-24*x^-1-10 = 0

1*x^1-24*x^-1-10*x^0 = 0

(1*x^2-10*x^1-24*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-10*x^1-24*x^0) = 0

x^1

x^2-10*x-24 = 0

x^2-10*x-24 = 0

DELTA = (-10)^2-(-24*1*4)

DELTA = 196

DELTA > 0

x = (196^(1/2)+10)/(1*2) or x = (10-196^(1/2))/(1*2)

x = 12 or x = -2

x in { -2, 12} 

(x+2)*(x-12) < 0

	(-oo:-2)	(-2:12)	(12:+oo)
x+2	-	+	+
x-12	-	-	+


x in (-2:0) U (0:12)

(-2:0) U (0:12)

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