若复数z满足z 2 -z+1=0,则|z|=______.
1个回答
∵z
2
-z+1=0,∴z=
1±
1-4
2×1 =
1±
-3
2 =
1
2 ±
3
2 i,
∴|z|=
1
4 +
3
4 =1,
故答案为:1.
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