2x/x2-3x

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Solution for 2x/x2-3x 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)

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

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

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

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

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

x^1

2-3*x^2 = 0

2-3*x^2 = 0

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

DELTA = 24

DELTA > 0

x = (24^(1/2)+0)/(-3*2) or x = (0-24^(1/2))/(-3*2)

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

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

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

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