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Algebra Level 5

The smallest positive integral value of aa for which the greater root of the equation x2(a2+a+1)x+a(a2+1)=0x^2-(a^2+a+1)x+a(a^2+1)=0 lies between the roots of the equation x2a2x2(a22)=0x^2-a^2x-2(a^2-2)=0 is:

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