若|m-2|+n 2 -8n+16=0,则m=______,n=______

若|m-2|+n 2 -8n+16=0,则m=______,n=______.
2025-05-20 10:26:21
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回答(1):

∵|m-2|+n 2 -8n+16=0,
∴|m-2|+(n-4) 2 =0,
∵|m-2|≥0,(n-4) 2 ≥0,
∴|m-2|=0,(n-4) 2 =0,
解得m=2,n=4.
故答案为:2,4.