Let alpha and beta be the roots of equa...

Let `alpha ` and `beta` be the roots of equation `x^2-(1-2a^2)x + (1-2a^2) =0` 1.) under what condition does the above equation have real roots. 1.) `a^2<1/2` 2.) `a^2>1/2` 3.) `a^2 <=1/2` 4.) `a^2>=1/2` 2.) Under what condition is `1/(alpha)^2 +1/(beta)^2< 1`?

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