已知a2+4a+1=0,且a4+ma2+13a3+ma2+3a=5,则m=_.
已知a2+4a+1=0,且
=5,则m=______.
a4+ma2+1 |
3a3+ma2+3a |
数学人气:649 ℃时间:2019-08-19 07:28:22
优质解答
∵a2+4a+1=0,∴a2=-4a-1,a4+ma2+13a3+ma2+3a=(−4a−1)2+ma2+13a(−4a−1)+ma2+3a=(16+m)a2+8a+2(m−12)a2=(16+m)a2+8a+2(m−12)(−4a−1)=(16+m)(−4a−1)+8a+2(m−12)(−4a−1)=5,∴(16+m)(-4a-1)+8a+2=5(...
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