TMUA Official 2017 Paper 1 · Question 19

Official papers

Official 2017 Paper 1 · Q19

Paper 1Algebra

The set of solutions to the inequality $x^2+bx+c<0$ 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 $x^2+bcx+c^3<0$ ?

\frac pc<x<\frac qc

\frac qc<x<\frac pc

pc<x<qc

qc<x<pc

pc^2<x<qc^2

qc^2<x<pc^2

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