tmua.me Medium Set E Paper 2 · Question 5

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tmua.me Medium Set E Paper 2 · Q5

Paper 2GeometryNumber & counting

Let $b$ and $c$ be integers. Consider the statements

\begin{array}{ll} P:& b^2-8c\text{ is the square of a positive integer},\\[3pt] Q:& 2x^2+bx+c=0\text{ has two distinct integer solutions}. \end{array}

Which of the following correctly describes $P$ as a condition for $Q$ ?

ABoth necessary and sufficient

BNecessary but not sufficient

CSufficient but not necessary

DNeither necessary nor sufficient

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