问题
解答题
设U={0,1,2,3},A={x∈U|x2+mx=0},若CUA={1,2},则实数m=______
答案
∵U={0,1,2,3},CUA={1,2}
∴A={0,3}
而∵A={x∈U|x2+mx=0},
∴0,3为x2+mx=0的两个根
解得m=-3
故答案为-3
设U={0,1,2,3},A={x∈U|x2+mx=0},若CUA={1,2},则实数m=______
∵U={0,1,2,3},CUA={1,2}
∴A={0,3}
而∵A={x∈U|x2+mx=0},
∴0,3为x2+mx=0的两个根
解得m=-3
故答案为-3