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
The roots are complex conjugate
Explanation:
If the roots of
are real and distint then
Now grouping
we have
and solving for
and