1/X-X/6=2/3

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Solution for 1/X-X/6=2/3 equation:


D( X )

X = 0

X = 0

X = 0

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

1/X-(X/6) = 2/3 // - 2/3

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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