Oops… STEP 3 Maths Question (1996)

Here’s an interesting and doable STEP question on complex numbers (STEP 3 1996). Unlike most STEP questions, this one is doable: Not that hard to figure out, but still needs some thought. Give it a try!

Knowledge you probably need (But not MUSTs):

  • Solving Trignometry Equation
  • De Moivre’s Theorem
  • Vieta’s formulas for cubic polynomials

step3_complexnumber_question

 

Looking for the solution?

Answer: (i) root 7 (ii) 5

I made a detailed solution to this problem in a powerpoint. You can view it here: step3_1996_Q5_solution

 

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