Question 0118

Equations and Inequalities
2018 Paper 1 Question 4 Variant

Question

(i)
Find the exact roots of the equation
2x2+3x5=5x|2 x^2 + 3 x - 5| = 5 - x
[4]
(ii)
On the same axes, sketch the curves with equations y=2x2+3x5{y=|2 x^2 + 3 x - 5|} and y=5x.{y=5 - x.}
Hence solve the inequality
2x2+3x5>5x.|2 x^2 + 3 x - 5| > 5 - x.
[4]

Answer