(x^2-4x-5)/(x-1)0

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Solution for (x^2-4x-5)/(x-1)0 equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(x^2-(4*x)-5)/(x-1) > 0

(x^2-4*x-5)/(x-1) > 0

x^2-4*x-5 = 0

x^2-4*x-5 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+4)/(1*2) or x = (4-36^(1/2))/(1*2)

x = 5 or x = -1

(x+1)*(x-5) = 0

((x+1)*(x-5))/(x-1) > 0

( x+1 )

x+1 > 0 // - 1

x > -1

( x-1 )

x-1 > 0 // + 1

x > 1

( x-5 )

x-5 > 0 // + 5

x > 5

	(-oo:-1)	(-1:1)	(1:5)	(5:+oo)
x+1	-	+	+	+
x-1	-	-	+	+
x-5	-	-	-	+


x in (-1:1) U (5:+oo)

(-1:1) U (5:+oo)

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