Find the values of 'a' so that two of the roots of the equation [itex](a-1)(x^2+x+1)^2=(a+1)(x^4+x^2+1)[/itex] are real and distinct
The Attempt at a Solution
I am thinking of converting this equation in quadratic form so that I can find discriminant and make it greater than 0.
This is how I started
Let [itex] x^2+x+1=y[/itex]
But I'm stuck here. The fourth degree term still prevails.
Is there any way this equation can be converted to a quadratic?