Math Pro
about
qns
questions
progress
Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
Question
Generate new
Show that
−
x
+
6
x
2
+
2
x
−
8
+
1
=
x
2
+
x
−
2
x
2
+
2
x
−
8
.
\frac{ - x + 6 }{ x^2 + 2 x - 8 } + 1=\frac{ x^2 + x - 2 }{ x^2 + 2 x - 8 }.
x
2
+
2
x
−
8
−
x
+
6
+
1
=
x
2
+
2
x
−
8
x
2
+
x
−
2
.
Hence, without using a calculator, solve the inequality
−
x
+
6
x
2
+
2
x
−
8
>
−
1
\frac{ - x + 6 }{ x^2 + 2 x - 8 } > -1
x
2
+
2
x
−
8
−
x
+
6
>
−
1
[5]
Answer
Back to top ▲
about
questions
progress