x+(1/x)=13/6

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Solution for x+(1/x)=13/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+1/x = 13/6 // - 13/6

x+1/x-(13/6) = 0

x+1/x-13/6 = 0

1*x^1+1*x^-1-13/6*x^0 = 0

(1*x^2-13/6*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-13/6*x^1+1*x^0) = 0

x^1

x^2+(-13/6)*x+1 = 0

x^2+(-13/6)*x+1 = 0

DELTA = (-13/6)^2-(1*1*4)

DELTA = 25/36

DELTA > 0

x = ((25/36)^(1/2)-(-13/6))/(1*2) or x = (-(-13/6)-(25/36)^(1/2))/(1*2)

x = 3/2 or x = 2/3

x in { 2/3, 3/2} 

x in { 2/3, 3/2 }

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