# If the roots of the equation #ax^2+2bx+c=0# are real and distinct then find the nature of the roots of the equation #(a+c)(ax^2+2bx+c) = 2(ac - b²)(x²+1)#?

##### 1 Answer

Jul 27, 2016

#### Answer:

The roots are complex conjugate

#### Explanation:

If the roots of

are real and distint then

Now grouping

we have

and solving for

and