Question 0118

Equations and Inequalities
2018 Paper 1 Question 4 Variant

Question

(i)
Find the exact roots of the equation
x2+2x7=7+x|x^2 + 2 x - 7| = 7 + x
[4]
(ii)
On the same axes, sketch the curves with equations y=x2+2x7{y=|x^2 + 2 x - 7|} and y=7+x.{y=7 + x.}
Hence solve the inequality
x2+2x7>7+x.|x^2 + 2 x - 7| > 7 + x.
[4]

Answer