x-15/x-2

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Solution for x-15/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(15/x) < -2 // + 2

x-(15/x)+2 < 0

x-15*x^-1+2 < 0

x-15*x^-1+2 = 0

1*x^1-15*x^-1+2*x^0 = 0

(1*x^2+2*x^1-15*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+2*x^1-15*x^0) = 0

x^1

x^2+2*x-15 = 0

x^2+2*x-15 = 0

DELTA = 2^2-(-15*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)-2)/(1*2) or x = (-64^(1/2)-2)/(1*2)

x = 3 or x = -5

x in { -5, 3} 

(x+5)*(x-3) < 0

	(-oo:-5)	(-5:3)	(3:+oo)
x+5	-	+	+
x-3	-	-	+


x in (-5:0) U (0:3)

(-5:0) U (0:3)

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