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Math Help - URGENT! Find splitting field and roots

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    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.)
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    Quote Originally Posted by mathhelp42 View Post
    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).
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