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 1 this is equal to 0:

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

Correct answer:

x =  3

Step-by-step explanation:

xx22x+1x+3x21=0  k22k+1=0  k22k+1=0 k22k+1=0  a=1;b=2;c=1 D=b24ac=22411=0 D=0  k1,2=b±D2a=2±02=1±0 k1,2=1±0 k1=k2=1   Factored form of the equation:  (k1)(k1)=0 q21=0  q21=0 q21=0  a=1;b=0;c=1 D=b24ac=0241(1)=4 D>0  q1,2=b±D2a=±42 q1,2=±22 q1,2=±1 q1=1 q2=1   Factored form of the equation:  (q1)(q+1)=0  xk1,k1,q1,q2 x+1;x1  xx22x+1x+3x21=0  x(x1)(x1)x+3(x+1)(x1)=0 x(x1)x+3(x+1)=0  x (x+1)(x+3) (x1)=0 x=3   Verifying Solution:  T=xx22x+1x+3x21=3322 3+13+3321=0

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