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Multiple choice

Let $\alpha$ and $\beta$ be the roots of the equation $x^2 - (1 - 2a^2) x + (1 - 2a^2) = 0$.Under what condition does the given equation have real roots.

  1. $a^2 < \dfrac{1}{2}$
  2. $a^2 > \dfrac{1}{2}$
  3. $a^2 \leq \dfrac{1}{2}$
  4. $a^2 \geq \dfrac{1}{2}$
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B Correct answer

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