15w-12/w=11

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Solution for 15w-12/w=11 equation: 


D( w )

w = 0

w = 0

w = 0

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

15*w-(12/w) = 11 // - 11

15*w-(12/w)-11 = 0

15*w-12*w^-1-11 = 0

15*w^1-12*w^-1-11*w^0 = 0

(15*w^2-11*w^1-12*w^0)/(w^1) = 0 // * w^2

w^1*(15*w^2-11*w^1-12*w^0) = 0

w^1

15*w^2-11*w-12 = 0

15*w^2-11*w-12 = 0

DELTA = (-11)^2-(-12*4*15)

DELTA = 841

DELTA > 0

w = (841^(1/2)+11)/(2*15) or w = (11-841^(1/2))/(2*15)

w = 4/3 or w = -3/5

w in { -3/5, 4/3} 

w in { -3/5, 4/3 }

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