AQA Paper 3 2024 June — Question 2 1 marks

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2024
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicDiscriminant and conditions for roots
TypeFind k for equal roots
DifficultyEasy -1.8 This is a straightforward 1-mark multiple choice question requiring only recall of the discriminant condition b²-4ac=0 for repeated roots, followed by simple arithmetic (b²=144, so b=±12). No problem-solving or conceptual depth required—purely mechanical application of a standard formula.
Spec1.02d Quadratic functions: graphs and discriminant conditions

The quadratic equation $$4x^2 + bx + 9 = 0$$ has one repeated real root. Find \(b\) Circle your answer. [1 mark] \(b = 0\) \quad \(b = \pm 12\) \quad \(b = \pm 13\) \quad \(b = \pm 36\)

Question 2:
AnswerMarks Guidance
2Circles 2nd answer 1.1b
Question 2 Total1
QMarking instructions AO
Question 2:
2 | Circles 2nd answer | 1.1b | B1 | b = ±12
Question 2 Total | 1
Q | Marking instructions | AO | Marks | Typical solution
The quadratic equation
$$4x^2 + bx + 9 = 0$$
has one repeated real root.

Find $b$

Circle your answer.
[1 mark]

$b = 0$ \quad $b = \pm 12$ \quad $b = \pm 13$ \quad $b = \pm 36$

\hfill \mbox{\textit{AQA Paper 3 2024 Q2 [1]}}