6w-9/w^2-5w+6+6-5w/w^2-5w+6

Solution for 6w-9/w^2-5w+6+6-5w/w^2-5w+6 equation:

D( w )

w^2 = 0

w^2 = 0

w^2 = 0

1*w^2 = 0 // : 1

w^2 = 0

w = 0

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

6*w-(5*w)-(5*w)-((5*w)/(w^2))-(9/(w^2))+6+6+6 = 0

6*w-5*w-5*w-5*w^-1-9*w^-2+6+6+6 = 0

18*w^0-4*w^1-5*w^-1-9*w^-2 = 0

(18*w^2-4*w^3-5*w^1-9*w^0)/(w^2) = 0 // * w^4

w^2*(18*w^2-4*w^3-5*w^1-9*w^0) = 0

w^2

18*w^2-4*w^3-5*w-9 = 0

{ 1, -1, 3, -3, 9, -9 }

1

w = 1

18*w^2-4*w^3-5*w-9 = 0

1

w-1

14*w-4*w^2+9

18*w^2-4*w^3-5*w-9

w-1

4*w^3-4*w^2

14*w^2-5*w-9

14*w-14*w^2

9*w-9

9-9*w

0

14*w-4*w^2+9 = 0

DELTA = 14^2-(-4*4*9)

DELTA = 340

DELTA > 0

w = (340^(1/2)-14)/(-4*2) or w = (-340^(1/2)-14)/(-4*2)

w = (2*85^(1/2)-14)/(-8) or w = (-2*85^(1/2)-14)/(-8)

w in { (2*85^(1/2)-14)/(-8), (-2*85^(1/2)-14)/(-8), 1} 

w in { (2*85^(1/2)-14)/(-8), (-2*85^(1/2)-14)/(-8), 1 }