ln(((x^2)-4)/(1-4x))

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


D( x )

1-(4*x) = 0

(x^2-4)/(1-(4*x)) <= 0

1-(4*x) = 0

1-(4*x) = 0

1-4*x = 0

1-4*x = 0 // - 1

-4*x = -1 // : -4

x = -1/(-4)

x = 1/4

(x^2-4)/(1-(4*x)) <= 0

(x^2-4)/(1-(4*x)) <= 0

(x^2-4)/(1-4*x) <= 0

( 1-4*x )

1-4*x <= 0 // - 1

-4*x <= -1 // : -4

x >= -1/(-4)

x >= 1/4

( x^2-4 )

1*x^2 <= 4

1*x^2 <= 4 // : 1

x^2 <= 4/1

x^2 <= 4

x^2 <= 4 // ^ 1/2

abs(x) <= 2

x in <-2:2>

	(-oo:-2)	(-2:1/4)	(1/4:2)	(2:+oo)
1-4*x	+	+	-	-
x^2-4	+	-	-	+


x in (-oo:-2) U (1/4:2)

ln((x^2-4)/(1-(4*x))) = 0

ln((x^2-4)/(1-4*x)) = 0

ln((x^2-4)/(1-4*x)) = ln(e^0)

(x^2-4)/(1-4*x) = e^0

(x^2-4)/(1-4*x)-e^0 = 0

(x^2-4)/(1-4*x)-1 = 0

(x^2-4)/(1-4*x)+(-1*(1-4*x))/(1-4*x) = 0

x^2-1*(1-4*x)-4 = 0

x^2+4*x-5 = 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 = (-36^(1/2)-4)/(1*2)

x = 1 or x = -5

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

((x+5)*(x-1))/(1-4*x) = 0

((x+5)*(x-1))/(1-4*x) = 0 // * 1-4*x

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

( x+5 )

x+5 = 0 // - 5

x = -5

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -5, 1 }

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