3x-13/x

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Solution for 3x-13/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(13/x) = 0

3*x-13*x^-1 = 0

3*x^1-13*x^-1 = 0

(3*x^2-13*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-13*x^0) = 0

x^1

3*x^2-13 = 0

3*x^2-13 = 0

DELTA = 0^2-(-13*3*4)

DELTA = 156

DELTA > 0

x = (156^(1/2)+0)/(2*3) or x = (0-156^(1/2))/(2*3)

x = (1*39^(1/2))/3 or x = (-39^(1/2))/3

x in { (-39^(1/2))/3, (1*39^(1/2))/3} 

x in { (-39^(1/2))/3, (1*39^(1/2))/3 }

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