-5/w+4=-3/4w+16+1

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Solution for -5/w+4=-3/4w+16+1 equation:


D( w )

w = 0

w = 0

w = 0

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

4-5/w = (-3/4)*w+1+16 // - (-3/4)*w+1+16

4-((-3/4)*w)-5/w-16-1 = 0

(3/4)*w-5/w-16-1+4 = 0

3/4*w^1-5*w^-1-13*w^0 = 0

(3/4*w^2-13*w^1-5*w^0)/(w^1) = 0 // * w^2

w^1*(3/4*w^2-13*w^1-5*w^0) = 0

w^1

(3/4)*w^2-13*w-5 = 0

(3/4)*w^2-13*w-5 = 0

DELTA = (-13)^2-(-5*4*(3/4))

DELTA = 184

DELTA > 0

w = (184^(1/2)+13)/(2*(3/4)) or w = (13-184^(1/2))/(2*(3/4))

w = 2/3*(2*46^(1/2)+13) or w = 2/3*(13-2*46^(1/2))

w in { 2/3*(13-2*46^(1/2)), 2/3*(2*46^(1/2)+13)}

w in { 2/3*(13-2*46^(1/2)), 2/3*(2*46^(1/2)+13) }

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