0=9x-81/x-9

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Solution for 0=9x-81/x-9 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

81/x-9*x+0+9 = 0

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

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

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

x^1

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

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

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

DELTA = 2997

DELTA > 0

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

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

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

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

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