x-36/x5

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Solution for x-36/x5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(36/x) < 5 // - 5

x-(36/x)-5 < 0

x-36*x^-1-5 < 0

x-36*x^-1-5 = 0

1*x^1-36*x^-1-5*x^0 = 0

(1*x^2-5*x^1-36*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-5*x^1-36*x^0) = 0

x^1

x^2-5*x-36 = 0

x^2-5*x-36 = 0

DELTA = (-5)^2-(-36*1*4)

DELTA = 169

DELTA > 0

x = (169^(1/2)+5)/(1*2) or x = (5-169^(1/2))/(1*2)

x = 9 or x = -4

x in { -4, 9} 

(x+4)*(x-9) < 0

	(-oo:-4)	(-4:9)	(9:+oo)
x+4	-	+	+
x-9	-	-	+


x in (-4:0) U (0:9)

(-4:0) U (0:9)

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