234/w=w+6

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Solution for 234/w=w+6 equation: 


D( w )

w = 0

w = 0

w = 0

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

234/w = w+6 // - w+6

234/w-w-6 = 0

234*w^-1-1*w^1-6*w^0 = 0

(234*w^0-1*w^2-6*w^1)/(w^1) = 0 // * w^2

w^1*(234*w^0-1*w^2-6*w^1) = 0

w^1

234-w^2-6*w = 0

234-w^2-6*w = 0

DELTA = (-6)^2-(-1*4*234)

DELTA = 972

DELTA > 0

w = (972^(1/2)+6)/(-1*2) or w = (6-972^(1/2))/(-1*2)

w = (18*3^(1/2)+6)/(-2) or w = (6-18*3^(1/2))/(-2)

w in { (18*3^(1/2)+6)/(-2), (6-18*3^(1/2))/(-2)} 

w in { (18*3^(1/2)+6)/(-2), (6-18*3^(1/2))/(-2) }

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