AQA Further Paper 2 2023 June — Question 13 9 marks

Exam BoardAQA
ModuleFurther Paper 2 (Further Paper 2)
Year2023
SessionJune
Marks9
TopicRoots of polynomials

13 The quadratic equation \(z ^ { 2 } - 5 z + 8 = 0\) has roots \(\alpha\) and \(\beta\) 13
  1. Write down the value of \(\alpha + \beta\) and the value of \(\alpha \beta\)
    13
  2. Without finding the value of \(\alpha\) or the value of \(\beta\), show that \(\alpha ^ { 4 } + \beta ^ { 4 } = - 47\)
    [0pt] [4 marks]
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