**Question of the Week – Week 13**

Solve the simultaneous equations:

giving your answers exactly.

**Question of the Week – Week 6**

The equation , where k is a constant, has no real roots.

Prove that

**Question of the Week – Week 4**

The first three terms of a geometric sequence are

where k is a constant. Show that

Given that k is not an integer, show that .

**Question of the Week – Week 1**

Do you know the correct way to solve the following inequality?