3.29: Quadratic inequality and enclosed area

0606/23/M/J/21 — Question 5 · 6 marks

(a)
Solve the inequality 2x217x+2102x^{2} - 17x + 21 \leqslant 0.
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(b)
Hence find the area enclosed between the curve y=2x217x+21y = 2x^{2} - 17x + 21 and the xx-axis.
[3]