6x-12/3+4=18/x

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Solution for 6x-12/3+4=18/x equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-(12/3)+4 = 18/x // - 18/x

6*x-(18/x)-(12/3)+4 = 0

6*x-18*x^-1-4+4 = 0

6*x^1-18*x^-1 = 0

(6*x^2-18*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-18*x^0) = 0

x^1

6*x^2-18 = 0

6*x^2-18 = 0

DELTA = 0^2-(-18*4*6)

DELTA = 432

DELTA > 0

x = (432^(1/2)+0)/(2*6) or x = (0-432^(1/2))/(2*6)

x = 3^(1/2) or x = -3^(1/2)

x in { -3^(1/2), 3^(1/2)} 

x in { -3^(1/2), 3^(1/2) }

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