Math Pro
about
qns
questions
progress
Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
Question
Generate new
Show that
3
x
2
+
14
x
+
4
x
2
+
9
x
+
18
−
2
=
x
2
−
4
x
−
32
x
2
+
9
x
+
18
.
\frac{ 3 x^2 + 14 x + 4 }{ x^2 + 9 x + 18 } - 2=\frac{ x^2 - 4 x - 32 }{ x^2 + 9 x + 18 }.
x
2
+
9
x
+
18
3
x
2
+
14
x
+
4
−
2
=
x
2
+
9
x
+
18
x
2
−
4
x
−
32
.
Hence, without using a calculator, solve the inequality
3
x
2
+
14
x
+
4
x
2
+
9
x
+
18
<
2
\frac{ 3 x^2 + 14 x + 4 }{ x^2 + 9 x + 18 } < 2
x
2
+
9
x
+
18
3
x
2
+
14
x
+
4
<
2
[5]
Answer
Back to top ▲
about
questions
progress