3.76: Line cutting a cubic curve

0606/21/O/N/22 — Question 2 · 5 marks

Do not use a calculator in this question.

Find the xx-coordinates of the points where y=3x8y = 3x - 8 cuts y=2x3+3x226x+22y = 2x^{3} + 3x^{2} - 26x + 22.
[5]