MathDB
Working with i

Source:

December 31, 2005
complex numbers

Problem Statement

Given that i2=−1i^2=-1, for how many integers nn is (n+i)4(n+i)^4 an integer? (A) none(B) 1(C) 2(D) 3(E) 4\text{(A)} \ \text{none} \qquad \text{(B)} \ 1 \qquad \text{(C)} \ 2 \qquad \text{(D)} \ 3 \qquad \text{(E)} \ 4
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