TMUA 2021 Paper 1 Q8 — Worked Solution

P1·Functions, Transformations & Graphs, Algebra & Surds·6.0Official · 2021 · Q8

tangent-conditiondiscriminantsimultaneous-equations

The line

y = 2 x + 3

meets the curve

y = x^{2} + b x + c

at exactly one point. The line

y = 4 x - 2

also meets the curve

y = x^{2} + b x + c

at exactly one point. What is the value of

b - c

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