2/x=x-2/24

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Solution for 2/x=x-2/24 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x = x-(2/24) // - x-(2/24)

2/x-x+2/24 = 0

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

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

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

x^1

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

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

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

DELTA = 1153/144

DELTA > 0

x = ((1153/144)^(1/2)-(1/12))/(-1*2) or x = (-(1/12)-(1153/144)^(1/2))/(-1*2)

x = ((1153/144)^(1/2)-1/12)/(-2) or x = ((1153/144)^(1/2)+1/12)/2

x in { ((1153/144)^(1/2)-1/12)/(-2), ((1153/144)^(1/2)+1/12)/2}

x in { ((1153/144)^(1/2)-1/12)/(-2), ((1153/144)^(1/2)+1/12)/2 }

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