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Question 0118
Equations and Inequalities
2018 Paper 1 Question 4 Variant
Question
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(i)
Find the exact roots of the equation
∣
x
2
+
5
x
−
2
∣
=
2
−
2
x
|x^2 + 5 x - 2| = 2 - 2 x
∣
x
2
+
5
x
−
2∣
=
2
−
2
x
[4]
(ii)
On the same axes, sketch the curves with equations
y
=
∣
x
2
+
5
x
−
2
∣
{y=|x^2 + 5 x - 2|}
y
=
∣
x
2
+
5
x
−
2∣
and
y
=
2
−
2
x
.
{y=2 - 2 x.}
y
=
2
−
2
x
.
Hence solve the inequality
∣
x
2
+
5
x
−
2
∣
<
2
−
2
x
.
|x^2 + 5 x - 2| < 2 - 2 x.
∣
x
2
+
5
x
−
2∣
<
2
−
2
x
.
[4]
Answer
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