2/1+x-1/x=4/x

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Solution for 2/1+x-1/x=4/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(1/x)+2/1 = 4/x // - 4/x

x-(1/x)-(4/x)+2/1 = 0

x-x^-1-4*x^-1+2 = 0

1*x^1-5*x^-1+2*x^0 = 0

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

x^1*(1*x^2+2*x^1-5*x^0) = 0

x^1

x^2+2*x-5 = 0

x^2+2*x-5 = 0

DELTA = 2^2-(-5*1*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)-2)/(1*2) or x = (-24^(1/2)-2)/(1*2)

x = (2*6^(1/2)-2)/2 or x = (-2*6^(1/2)-2)/2

x in { (-2*6^(1/2)-2)/2, (2*6^(1/2)-2)/2} 

x in { (-2*6^(1/2)-2)/2, (2*6^(1/2)-2)/2 }

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