OCR Further Pure Core AS 2024 June — Question 2

Exam BoardOCR
ModuleFurther Pure Core AS (Further Pure Core AS)
Year2024
SessionJune
TopicComplex Numbers Arithmetic
TypeMulti-part questions with division as one step
2 In this question you must show detailed reasoning.
  1. Express \(\frac { 8 + \mathrm { i } } { 2 - \mathrm { i } }\) in the form \(\mathrm { a } + \mathrm { bi }\) where \(a\) and \(b\) are real.
  2. Solve the equation \(4 x ^ { 2 } - 8 x + 5 = 0\). Give your answer(s) in the form \(\mathrm { c } + \mathrm { di }\) where \(c\) and \(d\) are real.
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