3x-6x^2/x^3

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Solution for 3x-6x^2/x^3 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

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

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

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

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

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

x^1

3*x^2-6 = 0

3*x^2-6 = 0

DELTA = 0^2-(-6*3*4)

DELTA = 72

DELTA > 0

x = (72^(1/2)+0)/(2*3) or x = (0-72^(1/2))/(2*3)

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

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

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

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