Given that a is not equal to B, and satisfies a ^ 2-3a + 1 = 0, B ^ 2-3b + 1 = 0, find the value of 1 / A ^ 2 + 1 + 1 / b ^ 2 + 1

1/a^2+1 +1/b^2+1=(a^2+b^2)／(ab)^2+2=[(a+b)^2-2ab)]／(ab)^2+2=(9-2)／1+2=9

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