Question 0118

Equations and Inequalities

2018 Paper 1 Question 4 Variant

Question

(i)

Find the exact roots of the equation

|x^2 - 7 x - 5| = 5 + 3 x

[4]

(ii)

On the same axes, sketch the curves with equations

{y=|x^2 - 7 x - 5|}

and

{y=5 + 3 x.}

Hence solve the inequality

|x^2 - 7 x - 5| < 5 + 3 x.

[4]