(-2/w+4)=(-5/2w+8)+2

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Solution for (-2/w+4)=(-5/2w+8)+2 equation: 


D( w )

w = 0

w = 0

w = 0

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

4-2/w = (-5/2)*w+2+8 // - (-5/2)*w+2+8

4-((-5/2)*w)-2/w-8-2 = 0

(5/2)*w-2/w-8-2+4 = 0

5/2*w^1-2*w^-1-6*w^0 = 0

(5/2*w^2-6*w^1-2*w^0)/(w^1) = 0 // * w^2

w^1*(5/2*w^2-6*w^1-2*w^0) = 0

w^1

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

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

DELTA = (-6)^2-(-2*4*(5/2))

DELTA = 56

DELTA > 0

w = (56^(1/2)+6)/(2*(5/2)) or w = (6-56^(1/2))/(2*(5/2))

w = (2*14^(1/2)+6)/5 or w = (6-2*14^(1/2))/5

w in { (6-2*14^(1/2))/5, (2*14^(1/2)+6)/5} 

w in { (6-2*14^(1/2))/5, (2*14^(1/2)+6)/5 }

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