Question 0118

Equations and Inequalities
2018 Paper 1 Question 4 Variant

Question

(i)
Find the exact roots of the equation
2x2+9x2=2x|2 x^2 + 9 x - 2| = 2 - x
[4]
(ii)
On the same axes, sketch the curves with equations y=2x2+9x2{y=|2 x^2 + 9 x - 2|} and y=2x.{y=2 - x.}
Hence solve the inequality
2x2+9x2>2x.|2 x^2 + 9 x - 2| > 2 - x.
[4]

Answer