The eq. x^4+ax^3+bx^2+ax+1=0 has at least one real root and if the minimum value of E(a,b)=a^2+b^2 can be expressed as p/q (where p and q are relatively prime), then p^2+q^2 is
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this problem has already been posted. (I love palindromes in math by deepanshu gupta)