有a²+1=a,则a²º²²+2022=?
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a^2+1=a
a^2 -a + 1/4 = -3/4
(a-1/2)^2 =-3/4
a = (1+√3i)/2 or (1-√3i)/2
a=cos(π/3)+isin(π/3) or cos(-π/3)+isin(-π/3)
a^2022
=cos(2022π/3)+isin(2022π/3) or cos(-2022π/3)+isin(-2022π/3)
=cosπ+isinπ or cos(-π)+isin(-π)
=-1
a^2022 +2022
=-1 +2022
=2021
a^2 -a + 1/4 = -3/4
(a-1/2)^2 =-3/4
a = (1+√3i)/2 or (1-√3i)/2
a=cos(π/3)+isin(π/3) or cos(-π/3)+isin(-π/3)
a^2022
=cos(2022π/3)+isin(2022π/3) or cos(-2022π/3)+isin(-2022π/3)
=cosπ+isinπ or cos(-π)+isin(-π)
=-1
a^2022 +2022
=-1 +2022
=2021
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