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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
x
2
−
9
x
+
26
x
2
+
3
x
−
18
+
2
=
x
2
−
3
x
−
10
x
2
+
3
x
−
18
.
\frac{ - x^2 - 9 x + 26 }{ x^2 + 3 x - 18 } + 2=\frac{ x^2 - 3 x - 10 }{ x^2 + 3 x - 18 }.
x
2
+
3
x
−
18
−
x
2
−
9
x
+
26
+
2
=
x
2
+
3
x
−
18
x
2
−
3
x
−
10
.
Hence, without using a calculator, solve the inequality
−
x
2
−
9
x
+
26
x
2
+
3
x
−
18
>
−
2
\frac{ - x^2 - 9 x + 26 }{ x^2 + 3 x - 18 } > -2
x
2
+
3
x
−
18
−
x
2
−
9
x
+
26
>
−
2
[5]
Answer
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