- #1

utkarshakash

Gold Member

- 855

- 13

## Homework Statement

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

## Homework Equations

## 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?