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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
x
2
+
12
x
−
3
x
2
−
4
x
−
21
+
2
=
x
2
+
4
x
−
45
x
2
−
4
x
−
21
.
\frac{ - x^2 + 12 x - 3 }{ x^2 - 4 x - 21 } + 2=\frac{ x^2 + 4 x - 45 }{ x^2 - 4 x - 21 }.
x
2
−
4
x
−
21
−
x
2
+
12
x
−
3
+
2
=
x
2
−
4
x
−
21
x
2
+
4
x
−
45
.
Hence, without using a calculator, solve the inequality
−
x
2
+
12
x
−
3
x
2
−
4
x
−
21
>
−
2
\frac{ - x^2 + 12 x - 3 }{ x^2 - 4 x - 21 } > -2
x
2
−
4
x
−
21
−
x
2
+
12
x
−
3
>
−
2
[5]
Answer
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