Question

If the roots of the equation \((a-1)(x^2 + x + 1)^2 = (a+1)(x^4 + x^2 + 1)\) are real and distinct then the value of \(a \in\)

• A. \((-\infty, -2) \cup (2, \infty)\)
• B. \((-\infty, -2] \cup [2, \infty)\)
• C. \([-2, 2]\)
• D. \((-2, 2)\)

Hint:

Use \(\Delta \ge 0\) for real roots and \(\Delta>0\) for distinct roots.

Answer 1

The Correct Option is B