Algebrahard · Past Paper
If α and β are roots of x^2 + bx + c = 0, then α^2 + β^2 is:
Ab^2 - 2c
Bb^2 + 2c
Cc^2 - 2b
Db^2 - 4c
✓ Correct Answer: A — b^2 - 2c
α^2 + β^2 = (α+β)^2 - 2αβ = (-b)^2 - 2c = b^2 - 2c.
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