4MA0 Higher January 2014 Paper 3 Q17
17 Given that \((5 - \sqrt{x})^2 = y - 20\sqrt{2}\;\) where \(x\) and \(y\) are positive integers, find the value of \(x\) and the value of \(y\).
(3)
| Scheme | Marks |
|---|---|
| \(5^2 - 5\sqrt{x} - 5\sqrt{x} + (\sqrt{x})^2\) oe | M1 |
| (x =) 8 | A1 |
| (y =) 33 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for correct expansion
A1: cao
A1: cao