Algebramedium · Past Paper
If α and β are roots of x^2 - 5x + 6 = 0, find α^2 + β^2.
A13
B25
C12
D31
✓ Correct Answer: A — 13
α+β=5, αβ=6. α^2+β^2 = (α+β)^2 - 2αβ = 5^2 - 2(6) = 25 - 12 = 13.
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