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Official 2017 Paper 2 · Q19

Paper 2Logic & proofAlgebra

Which one of the following is a sufficient condition for the equation x3−3x2+a=0x^3-3x^2+a=0, where aa is a constant, to have exactly one real root?

Aa>0a>0
Ba≤0a\leq0
Ca≥4a\geq4
Da<4a<4
E∣a∣>4|a|>4
F∣a∣≤4|a|\leq4
Ga=94a=\frac94
H∣a∣=32|a|=\frac32

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