Edexcel F1 2016 June — Question 5

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2016
SessionJune
TopicComplex Numbers Arithmetic
TypeLinear equations in z and z*

5. $$2 z + z ^ { * } = \frac { 3 + 4 i } { 7 + i }$$ Find \(z\), giving your answer in the form \(a + b \mathrm { i }\), where \(a\) and \(b\) are real constants. You must show all your working.