4400 Higher June 2008 Paper 4 Q16
16
(a) Solve \(x^2 - 5x + 3 = 0\)
Give your solutions correct to 3 significant figures.
You must show all your working. (3)
Give your solutions correct to 3 significant figures.
You must show all your working. (3)
(b) Solve the inequality \(y^2 \lt 9\) (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{5 \pm \sqrt{(-5)^2 - 4 \times 3}}{2}\) | M1 |
| \(\dfrac{5 \pm \sqrt{13}}{2}\) | M1 |
| 4.30 and 0.697 | A1 |
| (3) |
Notes
A1: allow 4.3 and 0.697
| Scheme | Marks |
|---|---|
| \(y \lt 3\) or \(y \gt -3\) | M1 |
| \(-3 \lt y \lt 3\) | A1 |
| (2) | |
| (5 marks) |
Notes
M1: Allow \(y \leqslant 3\) or \(y \geqslant -3\)