已知实数a,b满足a2?5a+1+b2+2b+1=0,则a2+1a2-|b|=______
已知实数a,b满足a2?5a+1+b2+2b+1=0,则a2+1a2-|b|=______....
已知实数a,b满足a2?5a+1+b2+2b+1=0,则a2+1a2-|b|=______.
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小惜301
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∵
+b
2+2b+1=
+(b+1)
2=0,
∴a
2-5a+1=0,b+1=0,即a+
=5,b=-1,
∴a
2+
=(a+
)
2-2=25-2=23,
则a
2+
-|b|=23-1=22.
故答案为:22
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