TMUA Specimen Paper 2 Q19 — Worked Solution

P2·Algebra & Surds, Functions, Transformations & Graphs·7.5Specimen · P2 · Q19

root-reflectioncubic-symmetrysubstitution

The positive real numbers

a

b

, and

c

are such that the equation

x^{3} + a x^{2} = b x + c

has three real roots, one positive and two negative. Which one of the following correctly describes the real roots of the equation

x^{3} + c = a x^{2} + b x

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