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.设集合M={x|x2-2x+p=0},N={x|x2+qx+r=0},且M∩N={-3},M∪N={2,-3,5},求p,q,r的值.
人气:453 ℃ 时间:2020-09-17 16:41:32
解答
-3代入M:9 + 6 + p = 0,推出p = -15,M = {-3,5}
-3和2代入N:9 - 3q + r = 0
4 + 2q + r = 0
推出q = 1,r = -6
p = -15,q = 1,r = -6
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