Algebrahard · Past Paper
If the roots of x^2 - bx + c = 0 differ by 1, then:
Ab^2 = 4c + 1
Bb^2 = 4c - 1
Cb = 4c + 1
Dc^2 = 4b + 1
✓ Correct Answer: A — b^2 = 4c + 1
(α-β)^2 = 1 => (α+β)^2 - 4αβ = 1 => b^2 - 4c = 1 => b^2 = 4c + 1.
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