Please determine the solvability conditions of the equation, solve the equation and perform the test:

x divided by x squared minus 2x plus1 the whole minus x + 3 divided by x squared minus one is equal to 0:

x/(x2-2x+1) - (x+3)/( x2-1) = 0

Correct answer:

x =  3

Step-by-step explanation:

   x22x+1x   x21x+3 = 0  k22k+1=0  k22k+1=0  a=1;b=2;c=1 D=b24ac=22411=0 D=0  k1,2=2ab±D=22±0=1± k1,2=1±0 k1=k2=1  q21=0  q21=0 q1,2=±1=±1 q1=1 q2=1  x = k1 , k1 , q1,q2 x = +1; x = 1     x22x+1x   x21x+3 = 0     (x1)(x1)x   (x+1)(x1)x+3 = 0    (x1)x   (x+1)x+3 = 0   x  (x+1) (x+3) (x1) = 0 x=3   Verifying Solution:  T=x22x+1xx21x+3=322 3+133213+3=0

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