4X/-1=X-3/X

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Solution for 4X/-1=X-3/X equation: 


D( X )

X = 0

X = 0

X = 0

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

(4*X)/(-1) = X-(3/X) // - X-(3/X)

(4*X)/(-1)-X+3/X = 0

3/X-4*X-X = 0

3*X^-1-5*X^1 = 0

(3*X^0-5*X^2)/(X^1) = 0 // * X^2

X^1*(3*X^0-5*X^2) = 0

X^1

3-5*X^2 = 0

3-5*X^2 = 0

DELTA = 0^2-(-5*3*4)

DELTA = 60

DELTA > 0

X = (60^(1/2)+0)/(-5*2) or X = (0-60^(1/2))/(-5*2)

X = (-15^(1/2))/5 or X = (1*15^(1/2))/5

X in { (-15^(1/2))/5, (1*15^(1/2))/5} 

X in { (-15^(1/2))/5, (1*15^(1/2))/5 }

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