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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
2
x
2
−
6
x
+
62
x
2
+
5
x
−
14
+
3
=
x
2
+
9
x
+
20
x
2
+
5
x
−
14
.
\frac{ - 2 x^2 - 6 x + 62 }{ x^2 + 5 x - 14 } + 3=\frac{ x^2 + 9 x + 20 }{ x^2 + 5 x - 14 }.
x
2
+
5
x
−
14
−
2
x
2
−
6
x
+
62
+
3
=
x
2
+
5
x
−
14
x
2
+
9
x
+
20
.
Hence, without using a calculator, solve the inequality
−
2
x
2
−
6
x
+
62
x
2
+
5
x
−
14
<
−
3
\frac{ - 2 x^2 - 6 x + 62 }{ x^2 + 5 x - 14 } < -3
x
2
+
5
x
−
14
−
2
x
2
−
6
x
+
62
<
−
3
[5]
Answer
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