Question 0118

Equations and Inequalities
2018 Paper 1 Question 4 Variant

Question

(i)
Find the exact roots of the equation
x2x4=4x|x^2 - x - 4| = 4 - x
[4]
(ii)
On the same axes, sketch the curves with equations y=x2x4{y=|x^2 - x - 4|} and y=4x.{y=4 - x.}
Hence solve the inequality
x2x4<4x.|x^2 - x - 4| < 4 - x.
[4]

Answer