Question

1/x +1/(x+1)= 2/(x-1)

Answer 1

1/x +1/(x+1)= 2/(x-1)

সমাধানঃ

GIven,

                    1/x +1/(x+1)= 2/(x-1)

              বা, (x+1+x)/x(x+1)=2/(x-1)

               (2x+1)/(x²+x) =2/(x-1)

                 (2x+1).(x-1)=2 (x²+x)

                  2x²+x-2x-1=2x²+2x

                  2x²+x-2x-2x²-2x=1

                    -3x=1

                     x=-1/3

সুতরাং, নির্নেয় সমাধান সেটঃ  S= {-1/3}