 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2018/paper-1/10/a/solution

Equating the two polynomials gives

x^{3} - 3 x^{2} + 3 x - 1 = (x - 1)^{3} = 0

. Thus the only intersection has

x = 1

and

y = 4

(1, 4) .

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