9x-48/x=5

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Solution for 9x-48/x=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

9*x-(48/x) = 5 // - 5

9*x-(48/x)-5 = 0

9*x-48*x^-1-5 = 0

9*x^1-48*x^-1-5*x^0 = 0

(9*x^2-5*x^1-48*x^0)/(x^1) = 0 // * x^2

x^1*(9*x^2-5*x^1-48*x^0) = 0

x^1

9*x^2-5*x-48 = 0

9*x^2-5*x-48 = 0

DELTA = (-5)^2-(-48*4*9)

DELTA = 1753

DELTA > 0

x = (1753^(1/2)+5)/(2*9) or x = (5-1753^(1/2))/(2*9)

x = (1753^(1/2)+5)/18 or x = (5-1753^(1/2))/18

x in { (5-1753^(1/2))/18, (1753^(1/2)+5)/18} 

x in { (5-1753^(1/2))/18, (1753^(1/2)+5)/18 }

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