\( \displaystyle (-\infty, \infty) \)
with undefined points at
\( \displaystyle x = \frac{-\beta_4 \pm \sqrt{\beta_4^2 - 4\beta_5}} {2\beta_5} \)
There will be 0, 1, or 2 real solutions to this equation
corresponding to whether
\( \displaystyle \beta_4^2 - 4\beta_5 \)
is negative, zero, or positive.
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