(32/w)-w=4

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Solution for (32/w)-w=4 equation: 


D( w )

w = 0

w = 0

w = 0

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

32/w-w = 4 // - 4

32/w-w-4 = 0

32*w^-1-1*w^1-4*w^0 = 0

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

w^1*(32*w^0-1*w^2-4*w^1) = 0

w^1

32-w^2-4*w = 0

32-w^2-4*w = 0

DELTA = (-4)^2-(-1*4*32)

DELTA = 144

DELTA > 0

w = (144^(1/2)+4)/(-1*2) or w = (4-144^(1/2))/(-1*2)

w = -8 or w = 4

w in { -8, 4} 

w in { -8, 4 }

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