Teaching NVS TGT 2024 Test Series Mathematics Quadratic Equations

If α and β are the real roots of the equation x2 - (k - 2) x + (k2 + 3k + 5) = 0 . Find the maximum and minimum values of (α2 + β2)

1
10/9, 9 
2
25/9, 11
3
50/9, 18 
4
10/9, 12 
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