12/x-3=6/2x

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Solution for 12/x-3=6/2x equation:


D( x )

x = 0

x = 0

x = 0

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

12/x-3 = (6/2)*x // - (6/2)*x

12/x-((6/2)*x)-3 = 0

12/x-3*x-3 = 0

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

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

x^1*(12*x^0-3*x^2-3*x^1) = 0

x^1

12-3*x^2-3*x = 0

12-3*x^2-3*x = 0

DELTA = (-3)^2-(-3*4*12)

DELTA = 153

DELTA > 0

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

x = (3*17^(1/2)+3)/(-6) or x = (3-3*17^(1/2))/(-6)

x in { (3*17^(1/2)+3)/(-6), (3-3*17^(1/2))/(-6)}

x in { (3*17^(1/2)+3)/(-6), (3-3*17^(1/2))/(-6) }

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