4-w/w^2-8w+16

Solution for 4-w/w^2-8w+16 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)

4-(8*w)-(w/(w^2))+16 = 0

4-8*w-w^-1+16 = 0

20*w^0-8*w^1-1*w^-1 = 0

(20*w^1-8*w^2-1*w^0)/(w^1) = 0 // * w^2

w^1*(20*w^1-8*w^2-1*w^0) = 0

w^1

20*w-8*w^2-1 = 0

20*w-8*w^2-1 = 0

DELTA = 20^2-(-8*(-1)*4)

DELTA = 368

DELTA > 0

w = (368^(1/2)-20)/(-8*2) or w = (-368^(1/2)-20)/(-8*2)

w = (4*23^(1/2)-20)/(-16) or w = (-4*23^(1/2)-20)/(-16)

w in { (4*23^(1/2)-20)/(-16), (-4*23^(1/2)-20)/(-16)} 

w in { (4*23^(1/2)-20)/(-16), (-4*23^(1/2)-20)/(-16) }