10/3-1/x=x

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Solution for 10/3-1/x=x equation:


D( x )

x = 0

x = 0

x = 0

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

10/3-(1/x) = x // - x

10/3-x-(1/x) = 0

10/3-x-x^-1 = 0

10/3*x^0-1*x^1-1*x^-1 = 0

(10/3*x^1-1*x^2-1*x^0)/(x^1) = 0 // * x^2

x^1*(10/3*x^1-1*x^2-1*x^0) = 0

x^1

(10/3)*x-x^2-1 = 0

(10/3)*x-x^2-1 = 0

DELTA = (10/3)^2-(-1*(-1)*4)

DELTA = 64/9

DELTA > 0

x = ((64/9)^(1/2)-(10/3))/(-1*2) or x = (-(10/3)-(64/9)^(1/2))/(-1*2)

x = 1/3 or x = 3

x in { 1/3, 3}

x in { 1/3, 3 }

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