5w-2/w-3

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Solution for 5w-2/w-3 equation: 


D( w )

w = 0

w = 0

w = 0

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

5*w-(2/w)-3 = 0

5*w-2*w^-1-3 = 0

5*w^1-2*w^-1-3*w^0 = 0

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

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

w^1

5*w^2-3*w-2 = 0

5*w^2-3*w-2 = 0

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

DELTA = 49

DELTA > 0

w = (49^(1/2)+3)/(2*5) or w = (3-49^(1/2))/(2*5)

w = 1 or w = -2/5

w in { -2/5, 1} 

w in { -2/5, 1 }

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