9x-1/x

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Solution for 9x-1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

9*x-(1/x) = 0

9*x-x^-1 = 0

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

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

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

x^1

9*x^2-1 = 0

9*x^2-1 = 0

DELTA = 0^2-(-1*4*9)

DELTA = 36

DELTA > 0

x = (36^(1/2)+0)/(2*9) or x = (0-36^(1/2))/(2*9)

x = 1/3 or x = -1/3

x in { -1/3, 1/3} 

x in { -1/3, 1/3 }

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