x/x^2-6x

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Solution for x/x^2-6x 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)

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

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

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

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

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

x^1

1-6*x^2 = 0

1-6*x^2 = 0

DELTA = 0^2-(-6*1*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)+0)/(-6*2) or x = (0-24^(1/2))/(-6*2)

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

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

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

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