X-11/X-1=3-2X/X-1

Solution for X-11/X-1=3-2X/X-1 equation:

D( X )

X = 0

X = 0

X = 0

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

X-(11/X)-1 = 3-((2*X)/X)-1 // - 3-((2*X)/X)-1

X-(11/X)+(2*X)/X-3-1+1 = 0

X-11*X^-1+(2*X)/X-3-1+1 = 0

1*X^1-11*X^-1-1*X^0 = 0

(1*X^2-1*X^1-11*X^0)/(X^1) = 0 // * X^2

X^1*(1*X^2-1*X^1-11*X^0) = 0

X^1

X^2-X-11 = 0

X^2-X-11 = 0

DELTA = (-1)^2-(-11*1*4)

DELTA = 45

DELTA > 0

X = (45^(1/2)+1)/(1*2) or X = (1-45^(1/2))/(1*2)

X = (3*5^(1/2)+1)/2 or X = (1-3*5^(1/2))/2

X in { (1-3*5^(1/2))/2, (3*5^(1/2)+1)/2} 

X in { (1-3*5^(1/2))/2, (3*5^(1/2)+1)/2 }