1/x-x/6-2/3=0

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Solution for 1/x-x/6-2/3=0 equation:


D( x )

x = 0

x = 0

x = 0

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

1/x-(x/6)-(2/3) = 0

1/x-(x/6)-2/3 = 0

1*x^-1-1/6*x^1-2/3*x^0 = 0

(1*x^0-1/6*x^2-2/3*x^1)/(x^1) = 0 // * x^2

x^1*(1*x^0-1/6*x^2-2/3*x^1) = 0

x^1

(-1/6)*x^2+(-2/3)*x+1 = 0

(-1/6)*x^2+(-2/3)*x+1 = 0

DELTA = (-2/3)^2-(1*4*(-1/6))

DELTA = 10/9

DELTA > 0

x = ((10/9)^(1/2)-(-2/3))/(2*(-1/6)) or x = (-(-2/3)-(10/9)^(1/2))/(2*(-1/6))

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

x in { -3*((10/9)^(1/2)+2/3), -3*(2/3-(10/9)^(1/2))}

x in { -3*((10/9)^(1/2)+2/3), -3*(2/3-(10/9)^(1/2)) }

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