Higher November 2023 Paper 5 Q24
24 The \(x\)-coordinates of the intersections of the graphs of \(y = x^2 + ax + 7\) and \(y = 3x + b\) are the solutions to the equation \(x^2 + 8x + 13 = 0\).
Find the value of \(a\) and the value of \(b\). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(a = 11\) \(b = -6\) | 3 | B2 for \(a - 3 = 8\) or \(7 - b = 13\) or better or M1 for \(x^2 + ax + 7 = 3x + b\) oe | B2 implied by one correct value e.g. \(0 = 3x + b - x^2 - ax - 7\) |