w/8+2/w=w/4

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Solution for w/8+2/w=w/4 equation: 


D( w )

w = 0

w = 0

w = 0

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

w/8+2/w = w/4 // - w/4

w/8-(w/4)+2/w = 0

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

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

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

w^1

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

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

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

DELTA = 1

DELTA > 0

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

w = -4 or w = 4

w in { -4, 4} 

w in { -4, 4 }

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