14=32/X-X

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Solution for 14=32/X-X equation: 


D( X )

X = 0

X = 0

X = 0

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

14 = 32/X-X // - 32/X-X

X-(32/X)+14 = 0

X-32*X^-1+14 = 0

1*X^1-32*X^-1+14*X^0 = 0

(1*X^2+14*X^1-32*X^0)/(X^1) = 0 // * X^2

X^1*(1*X^2+14*X^1-32*X^0) = 0

X^1

X^2+14*X-32 = 0

X^2+14*X-32 = 0

DELTA = 14^2-(-32*1*4)

DELTA = 324

DELTA > 0

X = (324^(1/2)-14)/(1*2) or X = (-324^(1/2)-14)/(1*2)

X = 2 or X = -16

X in { -16, 2} 

X in { -16, 2 }

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