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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
x
2
−
5
x
−
26
x
2
+
5
x
+
6
+
2
=
x
2
+
5
x
−
14
x
2
+
5
x
+
6
.
\frac{ - x^2 - 5 x - 26 }{ x^2 + 5 x + 6 } + 2=\frac{ x^2 + 5 x - 14 }{ x^2 + 5 x + 6 }.
x
2
+
5
x
+
6
−
x
2
−
5
x
−
26
+
2
=
x
2
+
5
x
+
6
x
2
+
5
x
−
14
.
Hence, without using a calculator, solve the inequality
−
x
2
−
5
x
−
26
x
2
+
5
x
+
6
>
−
2
\frac{ - x^2 - 5 x - 26 }{ x^2 + 5 x + 6 } > -2
x
2
+
5
x
+
6
−
x
2
−
5
x
−
26
>
−
2
[5]
Answer
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