18/3x-3=6/x

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Solution for 18/3x-3=6/x equation:


D( x )

x = 0

x = 0

x = 0

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

(18/3)*x-3 = 6/x // - 6/x

(18/3)*x-(6/x)-3 = 0

(18/3)*x-6*x^-1-3 = 0

6*x^1-6*x^-1-3*x^0 = 0

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

x^1*(6*x^2-3*x^1-6*x^0) = 0

x^1

6*x^2-3*x-6 = 0

6*x^2-3*x-6 = 0

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

DELTA = 153

DELTA > 0

x = (153^(1/2)+3)/(2*6) or x = (3-153^(1/2))/(2*6)

x = (3*17^(1/2)+3)/12 or x = (3-3*17^(1/2))/12

x in { (3-3*17^(1/2))/12, (3*17^(1/2)+3)/12}

x in { (3-3*17^(1/2))/12, (3*17^(1/2)+3)/12 }

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