Question

solve x+1/x-1 + x-2/x+2 =3,x≠1,-2​

Answer 1

Answer:

x+1/x-1 + x-2/x+2 =3

=(x+1)(x+2)+(x-2)(x-1)=3(x²+2x-x-2)

=x²+2x+x+2+x²-x-2x+2=3x²+6x-3x-6

-x²-3x+10=0

x²+3x-10=0

x²+5x-2x-10=0

(x+5)(x-2)

x=-5,2

so

x≠1,-2