> 数学 >
以知(m+n)^2=7,(m-n)^2=3 求m^4+n^4的值
人气:274 ℃ 时间:2020-06-19 05:01:55
解答
(m+n)^2=7
m^2+n^2+2mn=7
(m-n)^2=3
m^2+n^2-2mn=3
4mn=4
mn=1
m^2+n^2=5
(m^2+n^2)^2=m^4+n^4+2m^2n^2=25
m^4+n^4=25-2=23
推荐
猜你喜欢
© 2025 79432.Com All Rights Reserved.
电脑版|手机版