OCR Further Pure Core 2 2024 June — Question 2

Exam BoardOCR
ModuleFurther Pure Core 2 (Further Pure Core 2)
Year2024
SessionJune
TopicComplex numbers 2

2 In this question you must show detailed reasoning.
  1. Solve the equation \(x ^ { 2 } - 6 x + 58 = 0\). Give your solutions in the form \(a + b\) i where \(a\) and \(b\) are real numbers.
  2. Determine, in exact form, \(\arg ( - 10 + ( 5 \sqrt { 12 } ) \mathrm { i } ) ^ { 5 }\).