Why it can't have 4 real roots ?!!
Algebra
Level
3
\[(a-1)(x^{2}+x+1)^{2}-(a+1)(x^{4}+x^{2}+1)=0\]
Provided that two roots of the above equation are real and distinct for \(a \in \mathbb{R}-A,\) find the set \(A.\)
by
Sandeep Bhardwaj