3.78: Intersection of two polynomial curves

0606/22/O/N/22 — Question 5 · 5 marks

Do not use a calculator in this question.

Find the xx-coordinates of the points of intersection of
y=7x37x217x4y = 7x^{3} - 7x^{2} - 17x - 4 and y=2x34x216xy = 2x^{3} - 4x^{2} - 16x.
[5]