If \( \alpha, \beta \in \mathbb{R} \) and \( \alpha \leq \frac{x^2 - 3x + 4}{x^2 - 4x + 5} \leq \beta \) for all \( x \in \mathbb{R} \), then \( (2\alpha - 3)^2 + (2\beta - 3)^2 = \)
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For rational functions where the numerator and denominator are close in value, the range is often centered around 1. Note that \( \frac{3 \pm \sqrt{2}}{2} \) is approximately \( 1.5 \pm 0.7 \).