w-5/w+11

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Solution for w-5/w+11 equation: 


D( w )

w = 0

w = 0

w = 0

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

w-(5/w)+11 = 0

w-5*w^-1+11 = 0

1*w^1-5*w^-1+11*w^0 = 0

(1*w^2+11*w^1-5*w^0)/(w^1) = 0 // * w^2

w^1*(1*w^2+11*w^1-5*w^0) = 0

w^1

w^2+11*w-5 = 0

w^2+11*w-5 = 0

DELTA = 11^2-(-5*1*4)

DELTA = 141

DELTA > 0

w = (141^(1/2)-11)/(1*2) or w = (-141^(1/2)-11)/(1*2)

w = (141^(1/2)-11)/2 or w = (-(141^(1/2)+11))/2

w in { (-(141^(1/2)+11))/2, (141^(1/2)-11)/2} 

w in { (-(141^(1/2)+11))/2, (141^(1/2)-11)/2 }

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