x=5x-3/x

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Solution for x=5x-3/x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

x-5*x+3/x = 0

3*x^-1-4*x^1 = 0

(3*x^0-4*x^2)/(x^1) = 0 // * x^2

x^1*(3*x^0-4*x^2) = 0

x^1

3-4*x^2 = 0

3-4*x^2 = 0

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

DELTA = 48

DELTA > 0

x = (48^(1/2)+0)/(-4*2) or x = (0-48^(1/2))/(-4*2)

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

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

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

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