A simple plural problem 1. Solve the equation: Z ^ 2 = Z (also called Z's conjugate complex number) 2. Or plural I + 2I ^ 2 + 3I ^ 3 +50i^50=? I can give you points,

A simple plural problem 1. Solve the equation: Z ^ 2 = Z (also called Z's conjugate complex number) 2. Or plural I + 2I ^ 2 + 3I ^ 3 +50i^50=? I can give you points,

The first question is the same as the one above. The key is the second one
Let me tell you a trick first: [I ^ 1 = I, I ^ 2 = - 1, I ^ 3 = - I, I ^ 4 = 1], [I ^ 5 = I, I ^ 6 = - 1, I ^ 7 = - I, I ^ 8 = 1] Four in one cycle
So the original formula = (i-2-3i + 4) + (5i-6-7i + 8) + +(45i-46-47i+48)+49i-50
=(-2i+2)*12+49i-50
=-26+25i

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