3x/x^2-2x

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Solution for 3x/x^2-2x equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

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

3*x^-1-2*x^1 = 0

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

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

x^1

3-2*x^2 = 0

3-2*x^2 = 0

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

DELTA = 24

DELTA > 0

x = (24^(1/2)+0)/(-2*2) or x = (0-24^(1/2))/(-2*2)

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

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

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

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