1. The problem statement, all variables and given/known data 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 2. Relevant equations 3. 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] [itex](a-1)y^2=(a+1)(x^4+x^2+1)[/itex] But I'm stuck here. The fourth degree term still prevails. Is there any way this equation can be converted to a quadratic?