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
+
14
x
+
26
x
2
+
3
x
−
4
−
1
=
x
2
+
11
x
+
30
x
2
+
3
x
−
4
.
\frac{ 2 x^2 + 14 x + 26 }{ x^2 + 3 x - 4 } - 1=\frac{ x^2 + 11 x + 30 }{ x^2 + 3 x - 4 }.
x
2
+
3
x
−
4
2
x
2
+
14
x
+
26
−
1
=
x
2
+
3
x
−
4
x
2
+
11
x
+
30
.
Hence, without using a calculator, solve the inequality
2
x
2
+
14
x
+
26
x
2
+
3
x
−
4
>
1
\frac{ 2 x^2 + 14 x + 26 }{ x^2 + 3 x - 4 } > 1
x
2
+
3
x
−
4
2
x
2
+
14
x
+
26
>
1
[5]
Answer
Back to top ▲
about
questions
progress