3X-6/X-4

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Solution for 3X-6/X-4 equation: 


D( X )

X = 0

X = 0

X = 0

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

3*X-(6/X)-4 = 0

3*X-6*X^-1-4 = 0

3*X^1-6*X^-1-4*X^0 = 0

(3*X^2-4*X^1-6*X^0)/(X^1) = 0 // * X^2

X^1*(3*X^2-4*X^1-6*X^0) = 0

X^1

3*X^2-4*X-6 = 0

3*X^2-4*X-6 = 0

DELTA = (-4)^2-(-6*3*4)

DELTA = 88

DELTA > 0

X = (88^(1/2)+4)/(2*3) or X = (4-88^(1/2))/(2*3)

X = (2*22^(1/2)+4)/6 or X = (4-2*22^(1/2))/6

X in { (4-2*22^(1/2))/6, (2*22^(1/2)+4)/6} 

X in { (4-2*22^(1/2))/6, (2*22^(1/2)+4)/6 }

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