8/3x-2=2/x-1

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Solution for 8/3x-2=2/x-1 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 67/3

DELTA > 0

x = ((67/3)^(1/2)+1)/(2*(8/3)) or x = (1-(67/3)^(1/2))/(2*(8/3))

x = 3/16*((67/3)^(1/2)+1) or x = 3/16*(1-(67/3)^(1/2))

x in { 3/16*(1-(67/3)^(1/2)), 3/16*((67/3)^(1/2)+1)}

x in { 3/16*(1-(67/3)^(1/2)), 3/16*((67/3)^(1/2)+1) }

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