x+1/x=25/12

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Solution for x+1/x=25/12 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+1/x = 25/12 // - 25/12

x+1/x-(25/12) = 0

x+1/x-25/12 = 0

1*x^1+1*x^-1-25/12*x^0 = 0

(1*x^2-25/12*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-25/12*x^1+1*x^0) = 0

x^1

x^2+(-25/12)*x+1 = 0

x^2+(-25/12)*x+1 = 0

DELTA = (-25/12)^2-(1*1*4)

DELTA = 49/144

DELTA > 0

x = ((49/144)^(1/2)-(-25/12))/(1*2) or x = (-(-25/12)-(49/144)^(1/2))/(1*2)

x = 4/3 or x = 3/4

x in { 3/4, 4/3} 

x in { 3/4, 4/3 }

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