# Thread: URGENT! Find splitting field and roots

1. ## URGENT! Find splitting field and roots

Find the splitting field of x^2+x+1 over Q. Also, give the roots as complex numbers in polar form and the field in the form Q(a.)

2. Originally Posted by mathhelp42
Find the splitting field of x^2+x+1 over Q. Also, give the roots as complex numbers in polar form and the field in the form Q(a.)
are you saying that you can't even solve a quadratic equation?!! put $\xi=\frac{1}{2} + \frac{\sqrt{3}}{2}i$ and show that the splitting field is $\mathbb{Q}(\xi).$