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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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4
x
2
−
25
x
+
16
x
2
−
6
x
+
8
−
3
=
x
2
−
7
x
−
8
x
2
−
6
x
+
8
.
\frac{ 4 x^2 - 25 x + 16 }{ x^2 - 6 x + 8 } - 3=\frac{ x^2 - 7 x - 8 }{ x^2 - 6 x + 8 }.
x
2
−
6
x
+
8
4
x
2
−
25
x
+
16
−
3
=
x
2
−
6
x
+
8
x
2
−
7
x
−
8
.
Hence, without using a calculator, solve the inequality
4
x
2
−
25
x
+
16
x
2
−
6
x
+
8
>
3
\frac{ 4 x^2 - 25 x + 16 }{ x^2 - 6 x + 8 } > 3
x
2
−
6
x
+
8
4
x
2
−
25
x
+
16
>
3
[5]
Answer
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