x-13/x-163

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Solution for x-13/x-163 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(13/x)-16 > 3 // - 3

x-(13/x)-16-3 > 0

x-13*x^-1-16-3 > 0

x-13*x^-1-16-3 = 0

1*x^1-13*x^-1-19*x^0 = 0

(1*x^2-19*x^1-13*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-19*x^1-13*x^0) = 0

x^1

x^2-19*x-13 = 0

x^2-19*x-13 = 0

DELTA = (-19)^2-(-13*1*4)

DELTA = 413

DELTA > 0

x = (413^(1/2)+19)/(1*2) or x = (19-413^(1/2))/(1*2)

x = (413^(1/2)+19)/2 or x = (19-413^(1/2))/2

x in { (19-413^(1/2))/2, (413^(1/2)+19)/2} 

(x-((19-413^(1/2))/2))*(x-((413^(1/2)+19)/2)) > 0

	(-oo:(19-413^(1/2))/2)	((19-413^(1/2))/2:(413^(1/2)+19)/2)	((413^(1/2)+19)/2:+oo)
x-((19-413^(1/2))/2)	-	+	+
x-((413^(1/2)+19)/2)	-	-	+


x in (-oo:(19-413^(1/2))/2) U ((413^(1/2)+19)/2:+oo)

(-oo:(19-413^(1/2))/2) U ((413^(1/2)+19)/2:+oo)

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