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
−
6
x
+
75
x
2
+
5
x
+
6
−
2
=
x
2
−
16
x
+
63
x
2
+
5
x
+
6
.
\frac{ 3 x^2 - 6 x + 75 }{ x^2 + 5 x + 6 } - 2=\frac{ x^2 - 16 x + 63 }{ x^2 + 5 x + 6 }.
x
2
+
5
x
+
6
3
x
2
−
6
x
+
75
−
2
=
x
2
+
5
x
+
6
x
2
−
16
x
+
63
.
Hence, without using a calculator, solve the inequality
3
x
2
−
6
x
+
75
x
2
+
5
x
+
6
>
2
\frac{ 3 x^2 - 6 x + 75 }{ x^2 + 5 x + 6 } > 2
x
2
+
5
x
+
6
3
x
2
−
6
x
+
75
>
2
[5]
Answer
Back to top ▲
about
questions
progress