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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
2
x
2
+
20
x
+
33
x
2
−
6
x
−
16
+
3
=
x
2
+
2
x
−
15
x
2
−
6
x
−
16
.
\frac{ - 2 x^2 + 20 x + 33 }{ x^2 - 6 x - 16 } + 3=\frac{ x^2 + 2 x - 15 }{ x^2 - 6 x - 16 }.
x
2
−
6
x
−
16
−
2
x
2
+
20
x
+
33
+
3
=
x
2
−
6
x
−
16
x
2
+
2
x
−
15
.
Hence, without using a calculator, solve the inequality
−
2
x
2
+
20
x
+
33
x
2
−
6
x
−
16
>
−
3
\frac{ - 2 x^2 + 20 x + 33 }{ x^2 - 6 x - 16 } > -3
x
2
−
6
x
−
16
−
2
x
2
+
20
x
+
33
>
−
3
[5]
Answer
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