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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
2
x
2
+
15
x
+
62
x
2
−
3
x
−
18
+
3
=
x
2
+
6
x
+
8
x
2
−
3
x
−
18
.
\frac{ - 2 x^2 + 15 x + 62 }{ x^2 - 3 x - 18 } + 3=\frac{ x^2 + 6 x + 8 }{ x^2 - 3 x - 18 }.
x
2
−
3
x
−
18
−
2
x
2
+
15
x
+
62
+
3
=
x
2
−
3
x
−
18
x
2
+
6
x
+
8
.
Hence, without using a calculator, solve the inequality
−
2
x
2
+
15
x
+
62
x
2
−
3
x
−
18
<
−
3
\frac{ - 2 x^2 + 15 x + 62 }{ x^2 - 3 x - 18 } < -3
x
2
−
3
x
−
18
−
2
x
2
+
15
x
+
62
<
−
3
[5]
Answer
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