> 数学 >
已知:a2+4a+1=0,且
a4+ma2+1
2a3+ma2+2a
=3
,求m的值.
人气:417 ℃ 时间:2019-08-18 05:55:17
解答
∵a2+4a+1=0,∴a2+1=-4a,∴(a2+1)2=16a2,∴a4+2a2+1=16a2,即a4+1=14a2,∵a4+ma2+12a3+ma2+2a=3,∴14a2+ma22a(a2+1)+ma2=3,整理得14a2+ma2=-24a2+3ma2,∴(38-2m)a2=0,∵a≠0,∴38-2m=0,∴m=19....
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版