2/x-9x

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Solution for 2/x-9x equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x-(9*x) = 0

2/x-9*x = 0

2*x^-1-9*x^1 = 0

(2*x^0-9*x^2)/(x^1) = 0 // * x^2

x^1*(2*x^0-9*x^2) = 0

x^1

2-9*x^2 = 0

2-9*x^2 = 0

DELTA = 0^2-(-9*2*4)

DELTA = 72

DELTA > 0

x = (72^(1/2)+0)/(-9*2) or x = (0-72^(1/2))/(-9*2)

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

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

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

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