9x-53=6/x

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Solution for 9x-53=6/x equation: 


D( x )

x = 0

x = 0

x = 0

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

9*x-53 = 6/x // - 6/x

9*x-(6/x)-53 = 0

9*x-6*x^-1-53 = 0

9*x^1-6*x^-1-53*x^0 = 0

(9*x^2-53*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(9*x^2-53*x^1-6*x^0) = 0

x^1

9*x^2-53*x-6 = 0

9*x^2-53*x-6 = 0

DELTA = (-53)^2-(-6*4*9)

DELTA = 3025

DELTA > 0

x = (3025^(1/2)+53)/(2*9) or x = (53-3025^(1/2))/(2*9)

x = 6 or x = -1/9

x in { -1/9, 6} 

x in { -1/9, 6 }

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