已知实数a,b满足(a+b)^2=1,(a-b)^2=25,求a^2+b^2+ab的值

2024-12-19 01:51:02
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回答1:

(a+b)^2-(a-b)^2=25-1=24
4ab=24
ab=6
a^2+b^2+ab=a^2+b^2+2ab-ab
=(a+b)^2-ab
=1-6
=-5