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Multiple choice

The equation $2^{2x} + (a - 1){ 2^{ x + 1}} + a = 0$ has roots of opposite signs, then exhaustive set of values of $a$ is

  1. $a \in (-1, 0)$
  2. $a < 0$
  3. $a \in \left(- \infty, \dfrac{1}{3}\right)$
  4. $a \in \left(0, \dfrac{1}{3}\right)$
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