Math Pro
about
qns
questions
progress
Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
Question
Generate new
Show that
2
x
2
−
7
x
−
31
x
2
−
5
x
+
4
−
1
=
x
2
−
2
x
−
35
x
2
−
5
x
+
4
.
\frac{ 2 x^2 - 7 x - 31 }{ x^2 - 5 x + 4 } - 1=\frac{ x^2 - 2 x - 35 }{ x^2 - 5 x + 4 }.
x
2
−
5
x
+
4
2
x
2
−
7
x
−
31
−
1
=
x
2
−
5
x
+
4
x
2
−
2
x
−
35
.
Hence, without using a calculator, solve the inequality
2
x
2
−
7
x
−
31
x
2
−
5
x
+
4
>
1
\frac{ 2 x^2 - 7 x - 31 }{ x^2 - 5 x + 4 } > 1
x
2
−
5
x
+
4
2
x
2
−
7
x
−
31
>
1
[5]
Answer
Back to top ▲
about
questions
progress