(z^-4)(z/(8z^2-2z-1))

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


D( z )

8*z^2-(2*z)-1 = 0

z = 0

8*z^2-(2*z)-1 = 0

8*z^2-(2*z)-1 = 0

8*z^2-2*z-1 = 0

8*z^2-2*z-1 = 0

DELTA = (-2)^2-(-1*4*8)

DELTA = 36

DELTA > 0

z = (36^(1/2)+2)/(2*8) or z = (2-36^(1/2))/(2*8)

z = 1/2 or z = -1/4

z = 0

z = 0

z in (-oo:-1/4) U (-1/4:0) U (0:1/2) U (1/2:+oo)

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

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

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

8*z^2-2*z-1 = 0

8*z^2-2*z-1 = 0

DELTA = (-2)^2-(-1*4*8)

DELTA = 36

DELTA > 0

z = (36^(1/2)+2)/(2*8) or z = (2-36^(1/2))/(2*8)

z = 1/2 or z = -1/4

(z+1/4)*(z-1/2) = 0

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

( z )

z = 0

( z^-4 )

1*z^-4 = 0 // : 1

z^-4 = 0

z należy do O

z in { 0} 

z belongs to the empty set

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