TMUA 2016 Paper 2 Q15 — Worked Solution

P2·Algebra & Surds, Inequalities +1·7.0Official · 2016 · Q15

if-and-only-ifquadratic-formularoot-difference

Consider the quadratic

f (x) = x^{2} - 2 p x + q

and the statement:

(∗)

f (x) = 0

has two real roots whose difference is greater than 2 and less than 4.

Which one of the following statements is true if and only if (∗) is true?

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