Function range calculation (Jee Mains)

Graph, Sign and Range of Quadratic

Medium

If the range of the function $f\left( x \right) = \frac{{5 - x}}{{{x^2} - 3x + 2}}$ , x ≠ 1, 2, is (–∞, α] ∪ [β, ∞), then α² + β² is equal to :

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