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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