3x-5*(5/x)

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Solution for 3x-5*(5/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(5*(5/x)) = 0

3*x-25*x^-1 = 0

3*x^1-25*x^-1 = 0

(3*x^2-25*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-25*x^0) = 0

x^1

3*x^2-25 = 0

3*x^2-25 = 0

DELTA = 0^2-(-25*3*4)

DELTA = 300

DELTA > 0

x = (300^(1/2)+0)/(2*3) or x = (0-300^(1/2))/(2*3)

x = (5*3^(1/2))/3 or x = (-5*3^(1/2))/3

x in { (-5*3^(1/2))/3, (5*3^(1/2))/3} 

x in { (-5*3^(1/2))/3, (5*3^(1/2))/3 }

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