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
−
19
x
+
27
x
2
+
4
x
−
5
+
3
=
x
2
−
7
x
+
12
x
2
+
4
x
−
5
.
\frac{ - 2 x^2 - 19 x + 27 }{ x^2 + 4 x - 5 } + 3=\frac{ x^2 - 7 x + 12 }{ x^2 + 4 x - 5 }.
x
2
+
4
x
−
5
−
2
x
2
−
19
x
+
27
+
3
=
x
2
+
4
x
−
5
x
2
−
7
x
+
12
.
Hence, without using a calculator, solve the inequality
−
2
x
2
−
19
x
+
27
x
2
+
4
x
−
5
<
−
3
\frac{ - 2 x^2 - 19 x + 27 }{ x^2 + 4 x - 5 } < -3
x
2
+
4
x
−
5
−
2
x
2
−
19
x
+
27
<
−
3
[5]
Answer
Back to top ▲
about
questions
progress