Question 0107a

Equations and Inequalities
2007 Paper 1 Question 1 Variant

Question

Show that
3x2+16x+55x2−4−2=x2+16x+63x2−4.\frac{ 3 x^2 + 16 x + 55 }{ x^2 - 4 } - 2=\frac{ x^2 + 16 x + 63 }{ x^2 - 4 }.
Hence, without using a calculator, solve the inequality
3x2+16x+55x2−4>2\frac{ 3 x^2 + 16 x + 55 }{ x^2 - 4 } > 2
[5]

Answer