Question 0118

Equations and Inequalities
2018 Paper 1 Question 4 Variant

Question

(i)
Find the exact roots of the equation
2x29x8=8+3x|2 x^2 - 9 x - 8| = 8 + 3 x
[4]
(ii)
On the same axes, sketch the curves with equations y=2x29x8{y=|2 x^2 - 9 x - 8|} and y=8+3x.{y=8 + 3 x.}
Hence solve the inequality
2x29x8>8+3x.|2 x^2 - 9 x - 8| > 8 + 3 x.
[4]

Answer