2/x-3=x-2/6

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


D( x )

x = 0

x = 0

x = 0

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

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

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

2*x^-1-1*x^1-8/3*x^0 = 0

(2*x^0-1*x^2-8/3*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-1*x^2-8/3*x^1) = 0

x^1

(-8/3)*x-x^2+2 = 0

(-8/3)*x-x^2+2 = 0

DELTA = (-8/3)^2-(-1*2*4)

DELTA = 136/9

DELTA > 0

x = ((136/9)^(1/2)-(-8/3))/(-1*2) or x = (-(-8/3)-(136/9)^(1/2))/(-1*2)

x = ((136/9)^(1/2)+8/3)/(-2) or x = (8/3-(136/9)^(1/2))/(-2)

x in { ((136/9)^(1/2)+8/3)/(-2), (8/3-(136/9)^(1/2))/(-2)}

x in { ((136/9)^(1/2)+8/3)/(-2), (8/3-(136/9)^(1/2))/(-2) }

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