TMUA 2019 Paper 1 Q20 — Worked Solution

P1·Functions, Transformations & Graphs, Differentiation +1·7.5Official · 2019 · Q20

cubic-rootsstationary-pointsroot-location

What is the complete range of values of

k

for which the curves with equations

y = x^{3} - 12 x and y = k - (x - 2)^{2}

intersect at three distinct points, of which exactly two have positive

x

-coordinates?

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