Question Detail
Question
Given that z₁ = 2 - 2i and z₂ = 1 + i, find z₁/z₂
Correct Answer
Option C is the correct answer.
Detailed Explanation
z₁/z₂ = (2 - 2i)/(1 + i). Multiply numerator and denominator by the conjugate (1 - i): (2 - 2i)(1 - i)/((1 + i)(1 - i)) = (2 - 2i - 2i + 2i²)/(1 - i²) = (2 - 4i - 2)/(1 + 1) = (-4i)/2 = -2i.
Hint
Multiply numerator and denominator by the conjugate of the denominator.