8x^-2/(8x^-1)-4x^-1/(-4x^-3)

Solution for 8x^-2/(8x^-1)-4x^-1/(-4x^-3) equation:

D( x )

-4*x^-3 = 0

x = 0

8*x^-1 = 0

-4*x^-3 = 0

-4*x^-3 = 0

-4*x^-3 = 0 // : -4

x^-3 = 0

x naleu017Cy do O

x = 0

x = 0

8*x^-1 = 0

8*x^-1 = 0

8*x^-1 = 0 // : 8

x^-1 = 0

x naleu017Cy do O

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

(8*x^-2)/(8*x^-1)-((4*x^-1)/(-4*x^-3)) = 0

x^2+(8*x^-2)/(8*x^-1) = 0

1*x^2+1*x^-1 = 0

(1*x^3+1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^3+1*x^0) = 0

x^1

x^3+1 = 0

{ 1, -1 }

1

x = 1

x^3+1 = 2

1

-1

x = -1

x^3+1 = 0

-1

x+1

x^2-x+1

x^3+1

x+1

-x^3-x^2

1-x^2

x^2+x

x+1

-x-1

0

x^2-x+1 = 0

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

DELTA = -3

DELTA < 0

x in { -1} 

x = -1