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116问答网 > 已知（a+b)2次方=7,(a-b)2次方=3，求a的4次方+b的四次方的值

已知（a+b)2次方=7,(a-b)2次方=3，求a的4次方+b的四次方的值

2025-04-06 12:56:23

推荐回答（3个）

回答1：

由题知，
(a+b)²=7,(a-b)²=3，

所以，
a²+b²+2ab=7
a²+b²-2ab=3
所以，解得
a²+b²=5
ab=1

而
a^4+b^4
=a^4+b^4 +2a²b²-2a²b²
=(a²+b²)²-2a²b²
=5²-2
=23

希望采纳~~~

回答2：

98

回答3：

14吧

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