(a + bi)^n = 2^m (p + iq): find the quadratic whose roots are built from p and q
The same question, asked 2 times: 2021 Paper 19*, 24 Jan 2023. Every wording below, oldest first.
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Question 1
2021 Paper 19
74If (3+i)100=299(p+iq), then p and q are roots of the equation:
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Question 2
24 Jan 2023
65Let p,q∈R and (1−3i)200=2199(p+iq),i=−1 Then p+q+q2 and p−q+q2 are roots of the equation
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