9x-81/x-9

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Solution for 9x-81/x-9 equation:


D( x )

x = 0

x = 0

x = 0

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

9*x-(81/x)-9 = 0

9*x-81*x^-1-9 = 0

9*x^1-81*x^-1-9*x^0 = 0

(9*x^2-9*x^1-81*x^0)/(x^1) = 0 // * x^2

x^1*(9*x^2-9*x^1-81*x^0) = 0

x^1

9*x^2-9*x-81 = 0

9*x^2-9*x-81 = 0

DELTA = (-9)^2-(-81*4*9)

DELTA = 2997

DELTA > 0

x = (2997^(1/2)+9)/(2*9) or x = (9-2997^(1/2))/(2*9)

x = (9*37^(1/2)+9)/18 or x = (9-9*37^(1/2))/18

x in { (9-9*37^(1/2))/18, (9*37^(1/2)+9)/18}

x in { (9-9*37^(1/2))/18, (9*37^(1/2)+9)/18 }

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