TMUA Practice Question — Worked Solution

P2·Algebra & Surds, Inequalities +1·7.5CrackTMUA Original

for-all-integersdiscriminantextremal-boundsharpness-constructionnearest-integerboundary-edge

Let

p

and

q

be real numbers, not necessarily integers, with the property that

n^{2} + p n + q > 0

for every integer

n

(positive, negative or zero). Which of the following is the complete set of values that the discriminant

p^{2} - 4 q

can take?

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