TMUA 2017 Paper 2 Q19 — Worked Solution

P2·Differentiation, Algebra & Surds·6.5Official · 2017 · Q19

cubicreal-rootsdiscriminant-via-extremasufficient-condition

Which one of the following is a sufficient condition for the equation

x^{3} - 3 x^{2} + a = 0

, where

a

is a constant, to have exactly one real root?

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