(x+1/x-3)=(4/x-3)

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Solution for (x+1/x-3)=(4/x-3) equation: 


D( x )

x = 0

x = 0

x = 0

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

x+1/x-3 = 4/x-3 // - 4/x-3

x+1/x-(4/x)-3+3 = 0

x+1/x-4*x^-1-3+3 = 0

1*x^1-3*x^-1 = 0

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

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

x^1

x^2-3 = 0

x^2-3 = 0

DELTA = 0^2-(-3*1*4)

DELTA = 12

DELTA > 0

x = (12^(1/2)+0)/(1*2) or x = (0-12^(1/2))/(1*2)

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

x in { -3^(1/2), 3^(1/2)} 

x in { -3^(1/2), 3^(1/2) }

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