AQA Further Paper 1 2021 June — Question 2

Exam BoardAQA
ModuleFurther Paper 1 (Further Paper 1)
Year2021
SessionJune
TopicComplex Numbers Arithmetic
TypeQuadratic from one complex root

2 Given that \(z = 1 - 3 \mathrm { i }\) is one root of the equation \(z ^ { 2 } + p z + r = 0\), where \(p\) and \(r\) are real, find the value of \(r\). Circle your answer.
\(- 8 - 2610\)