6w-23/5w-15-w-4/w-3

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Solution for 6w-23/5w-15-w-4/w-3 equation:


D( w )

w = 0

w = 0

w = 0

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

6*w-((23/5)*w)-w-(4/w)-15-3 = 0

6*w+(-23/5)*w-w-4*w^-1-15-3 = 0

2/5*w^1-4*w^-1-18*w^0 = 0

(2/5*w^2-18*w^1-4*w^0)/(w^1) = 0 // * w^2

w^1*(2/5*w^2-18*w^1-4*w^0) = 0

w^1

(2/5)*w^2-18*w-4 = 0

(2/5)*w^2-18*w-4 = 0

DELTA = (-18)^2-(-4*4*(2/5))

DELTA = 1652/5

DELTA > 0

w = ((1652/5)^(1/2)+18)/(2*(2/5)) or w = (18-(1652/5)^(1/2))/(2*(2/5))

w = 5/4*((1652/5)^(1/2)+18) or w = 5/4*(18-(1652/5)^(1/2))

w in { 5/4*(18-(1652/5)^(1/2)), 5/4*((1652/5)^(1/2)+18)}

w in { 5/4*(18-(1652/5)^(1/2)), 5/4*((1652/5)^(1/2)+18) }

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