(5/6w)+(1/w)=-4

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Solution for (5/6w)+(1/w)=-4 equation:


D( w )

w = 0

w = 0

w = 0

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

(5/6)*w+1/w = -4 // + 4

(5/6)*w+1/w+4 = 0

5/6*w^1+1*w^-1+4*w^0 = 0

(5/6*w^2+4*w^1+1*w^0)/(w^1) = 0 // * w^2

w^1*(5/6*w^2+4*w^1+1*w^0) = 0

w^1

(5/6)*w^2+4*w+1 = 0

(5/6)*w^2+4*w+1 = 0

DELTA = 4^2-(1*4*(5/6))

DELTA = 38/3

DELTA > 0

w = ((38/3)^(1/2)-4)/(2*(5/6)) or w = (-(38/3)^(1/2)-4)/(2*(5/6))

w = 3/5*((38/3)^(1/2)-4) or w = -3/5*((38/3)^(1/2)+4)

w in { -3/5*((38/3)^(1/2)+4), 3/5*((38/3)^(1/2)-4)}

w in { -3/5*((38/3)^(1/2)+4), 3/5*((38/3)^(1/2)-4) }

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