(a+b)²=7,a²+2ab+b²=7(1)
(a-b)²=3 a²-2ab+b²=3(2)
(1)(2)相加得2(a²+b²)=10,所以a²+b²=5
(1)(2)相减得4ab=4所以ab=1
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(a+b)²+(a-b)²=2(a²+b²)=3+7=10
所以a²+b²=5
(a+b)²-(a-b)²=4ab=7-3=4
所以ab=1
a²+b²=[(a+b)²+(a-b)²]/2=[3+7]/2=5
ab=[(a+b)²-(a-b)²]/4=[7-3]/4=1