4/w-2=-3/4w-8

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Solution for 4/w-2=-3/4w-8 equation: 


D( w )

w = 0

w = 0

w = 0

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

4/w-2 = (-3/4)*w-8 // - (-3/4)*w-8

4/w-((-3/4)*w)-2+8 = 0

(3/4)*w+4/w-2+8 = 0

3/4*w^1+4*w^-1+6*w^0 = 0

(3/4*w^2+6*w^1+4*w^0)/(w^1) = 0 // * w^2

w^1*(3/4*w^2+6*w^1+4*w^0) = 0

w^1

(3/4)*w^2+6*w+4 = 0

(3/4)*w^2+6*w+4 = 0

DELTA = 6^2-(4*4*(3/4))

DELTA = 24

DELTA > 0

w = (24^(1/2)-6)/(2*(3/4)) or w = (-24^(1/2)-6)/(2*(3/4))

w = 2/3*(2*6^(1/2)-6) or w = 2/3*(-2*6^(1/2)-6)

w in { 2/3*(-2*6^(1/2)-6), 2/3*(2*6^(1/2)-6)} 

w in { 2/3*(-2*6^(1/2)-6), 2/3*(2*6^(1/2)-6) }

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