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

Solution for 2(x-1/x)-3(1-1/x)=0 equation:

D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 1

DELTA > 0

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

x = 1 or x = 1/2

x in { 1/2, 1} 

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

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

( x-1/2 )

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

x = 1/2

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 1/2, 1 }