121/(-x-2)x-20

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Solution for 121/(-x-2)x-20 equation: 


D( x )

-x-2 = 0

-x-2 = 0

-x-2 = 0

-x-2 = 0 // + 2

-x = 2 // * -1

x = -2

x in (-oo:-2) U (-2:+oo)

121/(-x-2) > x-20 // - x-20

121/(-x-2)-x+20 > 0

121/(-x-2)+(-x*(-x-2))/(-x-2)+(20*(-x-2))/(-x-2) > 0

20*(-x-2)-x*(-x-2)+121 > 0

x^2+2*x-20*x-40+121 > 0

x^2-18*x+81 > 0

x^2-18*x+81 = 0

x^2-18*x+81 = 0

DELTA = (-18)^2-(1*4*81)

DELTA = 0

x = 18/(1*2)

x = 9 or x = 9

(x-9)^2 = 0

((x-9)^2)/(-x-2) > 0

((x-9)^2)/(-x-2) > 0 // * (-x-2)^2

(x-9)^2*(-x-2) > 0

( -x-2 )

-x-2 > 0

-x > 2 // * -1

x < -2

( x-9 )

x-9 > 0 // + 9

x > 9

	(-oo:-2)	(-2:9)	(9:+oo)
-x-2	+	-	-
(x-9)^2	+	+	+


x in (-oo:-2)

(-oo:-2)

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