4400 Higher November 2008 Paper 4 Q13
13
(a) Solve \(x^2 + 2x - 1 = 0\)
Give your solutions correct to 3 significant figures.
You must show sufficient working. (3)
Give your solutions correct to 3 significant figures.
You must show sufficient working. (3)
(b) Solve \(\dfrac{2}{y + 4} = 3\)
You must show sufficient working. (2)
You must show sufficient working. (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{-2 \pm \sqrt{2^2 - 4 \times (-1)}}{2}\) | M1 |
| \(\dfrac{-2 \pm \sqrt{8}}{2}\) or better | A1 |
| \(x = -2.41\) or 0.414 | A1 |
| (3) |
Notes
M1: allow ... \(4 \times -1\)
A1: or \(-1 \pm \sqrt{2}\)
| Scheme | Marks |
|---|---|
| \(2 = 3(y + 4)\) or \(y + 4 = \frac{2}{3}\) | M1 |
| \(y = -3\frac{1}{3}\) | A1 |
| (2) | |
| (5 marks) |
Notes
A1: oe