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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

1/x-x-x^-1+2/x-3+3 = 0

2*x^-1-1*x^1 = 0

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

x^1*(2*x^0-1*x^2) = 0

x^1

2-x^2 = 0

2-x^2 = 0

DELTA = 0^2-(-1*2*4)

DELTA = 8

DELTA > 0

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

x = -2^(1/2) or x = 2^(1/2)

x in { -2^(1/2), 2^(1/2)} 

x in { -2^(1/2), 2^(1/2) }

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