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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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2
x
2
−
17
x
+
21
x
2
−
5
x
−
6
−
1
=
x
2
−
12
x
+
27
x
2
−
5
x
−
6
.
\frac{ 2 x^2 - 17 x + 21 }{ x^2 - 5 x - 6 } - 1=\frac{ x^2 - 12 x + 27 }{ x^2 - 5 x - 6 }.
x
2
−
5
x
−
6
2
x
2
−
17
x
+
21
−
1
=
x
2
−
5
x
−
6
x
2
−
12
x
+
27
.
Hence, without using a calculator, solve the inequality
2
x
2
−
17
x
+
21
x
2
−
5
x
−
6
>
1
\frac{ 2 x^2 - 17 x + 21 }{ x^2 - 5 x - 6 } > 1
x
2
−
5
x
−
6
2
x
2
−
17
x
+
21
>
1
[5]
Answer
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