x+1/x=26/5

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Solution for x+1/x=26/5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+1/x = 26/5 // - 26/5

x+1/x-(26/5) = 0

x+1/x-26/5 = 0

1*x^1+1*x^-1-26/5*x^0 = 0

(1*x^2-26/5*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-26/5*x^1+1*x^0) = 0

x^1

x^2+(-26/5)*x+1 = 0

x^2+(-26/5)*x+1 = 0

DELTA = (-26/5)^2-(1*1*4)

DELTA = 576/25

DELTA > 0

x = ((576/25)^(1/2)-(-26/5))/(1*2) or x = (-(-26/5)-(576/25)^(1/2))/(1*2)

x = 5 or x = 1/5

x in { 1/5, 5} 

x in { 1/5, 5 }

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