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Let a1 and a2 be two values of a for whi...

Let `a_1` and `a_2` be two values of `a` for which `f(x)= x*{ln(1+x)+ln(1-x)}/(secx-cosx) , x in (-1,0)` and `f(x)=(a^2-3a+1)x+x^2 , x in (0,oo)` is differentiable at `x=0`, then the value of `(a_1)^2+(a_2)^2`

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