Question 0118

Equations and Inequalities
2018 Paper 1 Question 4 Variant

Question

(i)
Find the exact roots of the equation
2x2+7x6=6+x|2 x^2 + 7 x - 6| = 6 + x
[4]
(ii)
On the same axes, sketch the curves with equations y=2x2+7x6{y=|2 x^2 + 7 x - 6|} and y=6+x.{y=6 + x.}
Hence solve the inequality
2x2+7x6>6+x.|2 x^2 + 7 x - 6| > 6 + x.
[4]

Answer