TMUA 2017 Paper 1 Q19 — Worked Solution

P1·Inequalities, Algebra & Surds·7.0Official · 2017 · Q19

quadratic-inequalitysubstitution-by-variable-changesign-flip

The set of solutions to the inequality

x^{2} + b x + c < 0

is the interval

p < x < q

where

b

c

p

and

q

are real constants with

c < 0

. In terms of

p

q

and

c

, what is the set of solutions to the inequality

x^{2} + b c x + c^{3} < 0

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