x-(36/x)-9

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Solution for x-(36/x)-9 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(36/x) < -9 // + 9

x-(36/x)+9 < 0

x-36*x^-1+9 < 0

x-36*x^-1+9 = 0

1*x^1-36*x^-1+9*x^0 = 0

(1*x^2+9*x^1-36*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+9*x^1-36*x^0) = 0

x^1

x^2+9*x-36 = 0

x^2+9*x-36 = 0

DELTA = 9^2-(-36*1*4)

DELTA = 225

DELTA > 0

x = (225^(1/2)-9)/(1*2) or x = (-225^(1/2)-9)/(1*2)

x = 3 or x = -12

x in { -12, 3} 

(x+12)*(x-3) < 0

	(-oo:-12)	(-12:3)	(3:+oo)
x+12	-	+	+
x-3	-	-	+


x in (-12:0) U (0:3)

(-12:0) U (0:3)

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