设全集U={1.2.3.4.5},A={X∈U|X^2-5X+q=0},求q的值及A的补集.
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设全集U={1.2.3.4.5},A={X∈U|X^2-5X+q=0},求q的值及A的补集.
设全集U={1.2.3.4.5},A={X∈U|X^2-5X+q=0},求q的值及A的补集.
设全集U={1.2.3.4.5},A={X∈U|X^2-5X+q=0},求q的值及A的补集.
因A={X∈U|X^2-5X+q=0},由韦达定理得:X1+X2=5,X1*X2=q.可得:X1=1,X2=4,q=4;
或X1=2,X2=3,q=6.于是A={1,2,3,4}.
A的补集={5}.q=4或6.