Question

If a, b, c are real show that the roots of 1/x+a +1/x+b+1/x+c =3/x are real​

Answer 1

It's roots are real.

Step-by-step explanation:

given

1/x+a+1/x+b+1/x+c=3/x

take 1/x. as A

We get

A+a+A+b+A+c=3A

3A+a+b+c=3A

3Awill get cancelled on both sides

we get

a+b+c=0

if a,b,c are real then the above expression will have real roots.

hence proved.