13 The quadratic equation \(z ^ { 2 } - 5 z + 8 = 0\) has roots \(\alpha\) and \(\beta\)
13
- Write down the value of \(\alpha + \beta\) and the value of \(\alpha \beta\)
13 - 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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