-8/w+4=(-3/4w+16)+2

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Solution for -8/w+4=(-3/4w+16)+2 equation:


D( w )

w = 0

w = 0

w = 0

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

4-8/w = (-3/4)*w+2+16 // - (-3/4)*w+2+16

4-((-3/4)*w)-8/w-16-2 = 0

(3/4)*w-8/w-16-2+4 = 0

3/4*w^1-8*w^-1-14*w^0 = 0

(3/4*w^2-14*w^1-8*w^0)/(w^1) = 0 // * w^2

w^1*(3/4*w^2-14*w^1-8*w^0) = 0

w^1

(3/4)*w^2-14*w-8 = 0

(3/4)*w^2-14*w-8 = 0

DELTA = (-14)^2-(-8*4*(3/4))

DELTA = 220

DELTA > 0

w = (220^(1/2)+14)/(2*(3/4)) or w = (14-220^(1/2))/(2*(3/4))

w = 2/3*(2*55^(1/2)+14) or w = 2/3*(14-2*55^(1/2))

w in { 2/3*(14-2*55^(1/2)), 2/3*(2*55^(1/2)+14)}

w in { 2/3*(14-2*55^(1/2)), 2/3*(2*55^(1/2)+14) }

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