The number of real solutions of the equation 271/x+121/x=281/x is

We can write (1) as 2781/x+1281/x=2or 323/x+321/x=2                   (1)As 3/2>1,(3/2)t>1 if t>0and (3/2)t<1 if  t<0.Thus, 323/x+321/x<2 if x > 0.Therefore, (1) is possible if 1/x = 0. But this is not true for any real value of x.