1/x4x

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Solution for 1/x4x equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x > 4*x // - 4*x

1/x-(4*x) > 0

1/x-4*x > 0

x^-1-4*x = 0

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

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

x^2 = 1/4

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

abs(x) = 1/2

x = 1/2 or x = -1/2

1/x = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

(x-1/2)*(x+1/2) > 0

	(-oo:-1/2)	(-1/2:1/2)	(1/2:+oo)
x-1/2	-	-	+
x+1/2	-	+	+


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

(-oo:-1/2) U (1/2:+oo)

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